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Finding the Fourth Proportional to 468.31, 702.34 and 139.24

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Solution

The fourth proportional to 468.31, 702.34 and 139.24 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.31 : 702.34 = 139.24 : x
  2. Step 2: Convert to fraction form
    468.31/702.34 = 139.24/x
  3. Step 3: Cross multiply
    468.31x = 702.34 × 139.24
  4. Step 4: Simplify right side
    468.31x = 97,792.38
  5. Step 5: Solve for x
    x = 97,792.38/468.31
  6. Step 6: Final answer
    x = 208.82

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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.