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Finding the Fourth Proportional to 374.66, 517.29 and 281.61

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Solution

The fourth proportional to 374.66, 517.29 and 281.61 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.66 : 517.29 = 281.61 : x
  2. Step 2: Convert to fraction form
    374.66/517.29 = 281.61/x
  3. Step 3: Cross multiply
    374.66x = 517.29 × 281.61
  4. Step 4: Simplify right side
    374.66x = 145,672.98
  5. Step 5: Solve for x
    x = 145,672.98/374.66
  6. Step 6: Final answer
    x = 388.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.