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Finding the Fourth Proportional to 610.42, 915.52 and 177.62

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Solution

The fourth proportional to 610.42, 915.52 and 177.62 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 915.52 = 177.62 : x
  2. Step 2: Convert to fraction form
    610.42/915.52 = 177.62/x
  3. Step 3: Cross multiply
    610.42x = 915.52 × 177.62
  4. Step 4: Simplify right side
    610.42x = 162,614.66
  5. Step 5: Solve for x
    x = 162,614.66/610.42
  6. Step 6: Final answer
    x = 266.40

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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.