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Finding the Fourth Proportional to 463.76, 695.92 and 220.31

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Solution

The fourth proportional to 463.76, 695.92 and 220.31 is: 330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 695.92 = 220.31 : x
  2. Step 2: Convert to fraction form
    463.76/695.92 = 220.31/x
  3. Step 3: Cross multiply
    463.76x = 695.92 × 220.31
  4. Step 4: Simplify right side
    463.76x = 153,318.14
  5. Step 5: Solve for x
    x = 153,318.14/463.76
  6. Step 6: Final answer
    x = 330.60

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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.