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Finding the Fourth Proportional to 374.49, 517.76 and 281.71

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Solution

The fourth proportional to 374.49, 517.76 and 281.71 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 517.76 = 281.71 : x
  2. Step 2: Convert to fraction form
    374.49/517.76 = 281.71/x
  3. Step 3: Cross multiply
    374.49x = 517.76 × 281.71
  4. Step 4: Simplify right side
    374.49x = 145,858.46
  5. Step 5: Solve for x
    x = 145,858.46/374.49
  6. Step 6: Final answer
    x = 389.49

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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.