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Finding the Fourth Proportional to 387.96, 534.87 and 281.52

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Solution

The fourth proportional to 387.96, 534.87 and 281.52 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 534.87 = 281.52 : x
  2. Step 2: Convert to fraction form
    387.96/534.87 = 281.52/x
  3. Step 3: Cross multiply
    387.96x = 534.87 × 281.52
  4. Step 4: Simplify right side
    387.96x = 150,579.66
  5. Step 5: Solve for x
    x = 150,579.66/387.96
  6. Step 6: Final answer
    x = 388.13

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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.