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Finding the Fourth Proportional to 468.33, 702.61 and 143.68

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Solution

The fourth proportional to 468.33, 702.61 and 143.68 is: 215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 702.61 = 143.68 : x
  2. Step 2: Convert to fraction form
    468.33/702.61 = 143.68/x
  3. Step 3: Cross multiply
    468.33x = 702.61 × 143.68
  4. Step 4: Simplify right side
    468.33x = 100,951.00
  5. Step 5: Solve for x
    x = 100,951.00/468.33
  6. Step 6: Final answer
    x = 215.56

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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.