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Finding the Fourth Proportional to 510.11, 765.25 and 163.34

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Solution

The fourth proportional to 510.11, 765.25 and 163.34 is: 245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.11 : 765.25 = 163.34 : x
  2. Step 2: Convert to fraction form
    510.11/765.25 = 163.34/x
  3. Step 3: Cross multiply
    510.11x = 765.25 × 163.34
  4. Step 4: Simplify right side
    510.11x = 124,994.57
  5. Step 5: Solve for x
    x = 124,994.57/510.11
  6. Step 6: Final answer
    x = 245.04

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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.