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Finding the Fourth Proportional to 374.31, 515.82 and 281.16

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Solution

The fourth proportional to 374.31, 515.82 and 281.16 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.31 : 515.82 = 281.16 : x
  2. Step 2: Convert to fraction form
    374.31/515.82 = 281.16/x
  3. Step 3: Cross multiply
    374.31x = 515.82 × 281.16
  4. Step 4: Simplify right side
    374.31x = 145,027.95
  5. Step 5: Solve for x
    x = 145,027.95/374.31
  6. Step 6: Final answer
    x = 387.45

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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.