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Finding the Fourth Proportional to 410.60, 616.14 and 167.09

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Solution

The fourth proportional to 410.60, 616.14 and 167.09 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 616.14 = 167.09 : x
  2. Step 2: Convert to fraction form
    410.60/616.14 = 167.09/x
  3. Step 3: Cross multiply
    410.60x = 616.14 × 167.09
  4. Step 4: Simplify right side
    410.60x = 102,950.83
  5. Step 5: Solve for x
    x = 102,950.83/410.60
  6. Step 6: Final answer
    x = 250.73

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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.