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Finding the Fourth Proportional to 616.81, 925.22 and 178.07

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Solution

The fourth proportional to 616.81, 925.22 and 178.07 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.81 : 925.22 = 178.07 : x
  2. Step 2: Convert to fraction form
    616.81/925.22 = 178.07/x
  3. Step 3: Cross multiply
    616.81x = 925.22 × 178.07
  4. Step 4: Simplify right side
    616.81x = 164,753.93
  5. Step 5: Solve for x
    x = 164,753.93/616.81
  6. Step 6: Final answer
    x = 267.11

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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.