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Finding the Fourth Proportional to 610.98, 915.57 and 281.10

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Solution

The fourth proportional to 610.98, 915.57 and 281.10 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 915.57 = 281.10 : x
  2. Step 2: Convert to fraction form
    610.98/915.57 = 281.10/x
  3. Step 3: Cross multiply
    610.98x = 915.57 × 281.10
  4. Step 4: Simplify right side
    610.98x = 257,366.02
  5. Step 5: Solve for x
    x = 257,366.02/610.98
  6. Step 6: Final answer
    x = 421.23

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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.