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Finding the Fourth Proportional to 435.97, 654.04 and 216.71

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Solution

The fourth proportional to 435.97, 654.04 and 216.71 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.97 : 654.04 = 216.71 : x
  2. Step 2: Convert to fraction form
    435.97/654.04 = 216.71/x
  3. Step 3: Cross multiply
    435.97x = 654.04 × 216.71
  4. Step 4: Simplify right side
    435.97x = 141,737.01
  5. Step 5: Solve for x
    x = 141,737.01/435.97
  6. Step 6: Final answer
    x = 325.11

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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.