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Finding the Fourth Proportional to 510.38, 765.57 and 163.75

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Solution

The fourth proportional to 510.38, 765.57 and 163.75 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.38 : 765.57 = 163.75 : x
  2. Step 2: Convert to fraction form
    510.38/765.57 = 163.75/x
  3. Step 3: Cross multiply
    510.38x = 765.57 × 163.75
  4. Step 4: Simplify right side
    510.38x = 125,362.09
  5. Step 5: Solve for x
    x = 125,362.09/510.38
  6. Step 6: Final answer
    x = 245.63

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.38, 767.07 and 164.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.