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Finding the Fourth Proportional to 410.35, 615.24 and 215.02

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Solution

The fourth proportional to 410.35, 615.24 and 215.02 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.35 : 615.24 = 215.02 : x
  2. Step 2: Convert to fraction form
    410.35/615.24 = 215.02/x
  3. Step 3: Cross multiply
    410.35x = 615.24 × 215.02
  4. Step 4: Simplify right side
    410.35x = 132,288.90
  5. Step 5: Solve for x
    x = 132,288.90/410.35
  6. Step 6: Final answer
    x = 322.38

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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.