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Finding the Fourth Proportional to 410.24, 615.18 and 166.76

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Solution

The fourth proportional to 410.24, 615.18 and 166.76 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 615.18 = 166.76 : x
  2. Step 2: Convert to fraction form
    410.24/615.18 = 166.76/x
  3. Step 3: Cross multiply
    410.24x = 615.18 × 166.76
  4. Step 4: Simplify right side
    410.24x = 102,587.42
  5. Step 5: Solve for x
    x = 102,587.42/410.24
  6. Step 6: Final answer
    x = 250.07

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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.