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Finding the Fourth Proportional to 410.10, 614.94 and 215.02

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Solution

The fourth proportional to 410.10, 614.94 and 215.02 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 614.94 = 215.02 : x
  2. Step 2: Convert to fraction form
    410.10/614.94 = 215.02/x
  3. Step 3: Cross multiply
    410.10x = 614.94 × 215.02
  4. Step 4: Simplify right side
    410.10x = 132,224.40
  5. Step 5: Solve for x
    x = 132,224.40/410.10
  6. Step 6: Final answer
    x = 322.42

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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.