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Finding the Fourth Proportional to 508.17, 762.10 and 161.49

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Solution

The fourth proportional to 508.17, 762.10 and 161.49 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.10 = 161.49 : x
  2. Step 2: Convert to fraction form
    508.17/762.10 = 161.49/x
  3. Step 3: Cross multiply
    508.17x = 762.10 × 161.49
  4. Step 4: Simplify right side
    508.17x = 123,071.53
  5. Step 5: Solve for x
    x = 123,071.53/508.17
  6. Step 6: Final answer
    x = 242.19

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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.