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Finding the Fourth Proportional to 510.73, 766.23 and 218.24

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Solution

The fourth proportional to 510.73, 766.23 and 218.24 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 766.23 = 218.24 : x
  2. Step 2: Convert to fraction form
    510.73/766.23 = 218.24/x
  3. Step 3: Cross multiply
    510.73x = 766.23 × 218.24
  4. Step 4: Simplify right side
    510.73x = 167,222.04
  5. Step 5: Solve for x
    x = 167,222.04/510.73
  6. Step 6: Final answer
    x = 327.42

Related Problems

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Half scale
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Double scale
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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.