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Finding the Fourth Proportional to 387.53, 534.78 and 212.87

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Solution

The fourth proportional to 387.53, 534.78 and 212.87 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.53 : 534.78 = 212.87 : x
  2. Step 2: Convert to fraction form
    387.53/534.78 = 212.87/x
  3. Step 3: Cross multiply
    387.53x = 534.78 × 212.87
  4. Step 4: Simplify right side
    387.53x = 113,839.96
  5. Step 5: Solve for x
    x = 113,839.96/387.53
  6. Step 6: Final answer
    x = 293.76

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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.