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Finding the Fourth Proportional to 468.19, 702.48 and 224.68

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Solution

The fourth proportional to 468.19, 702.48 and 224.68 is: 337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 702.48 = 224.68 : x
  2. Step 2: Convert to fraction form
    468.19/702.48 = 224.68/x
  3. Step 3: Cross multiply
    468.19x = 702.48 × 224.68
  4. Step 4: Simplify right side
    468.19x = 157,833.21
  5. Step 5: Solve for x
    x = 157,833.21/468.19
  6. Step 6: Final answer
    x = 337.11

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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.