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Finding the Fourth Proportional to 468.26, 702.20 and 237.28

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Solution

The fourth proportional to 468.26, 702.20 and 237.28 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 702.20 = 237.28 : x
  2. Step 2: Convert to fraction form
    468.26/702.20 = 237.28/x
  3. Step 3: Cross multiply
    468.26x = 702.20 × 237.28
  4. Step 4: Simplify right side
    468.26x = 166,618.02
  5. Step 5: Solve for x
    x = 166,618.02/468.26
  6. Step 6: Final answer
    x = 355.82

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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.