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Finding the Fourth Proportional to 387.31, 530.91 and 382.12

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Solution

The fourth proportional to 387.31, 530.91 and 382.12 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.31 : 530.91 = 382.12 : x
  2. Step 2: Convert to fraction form
    387.31/530.91 = 382.12/x
  3. Step 3: Cross multiply
    387.31x = 530.91 × 382.12
  4. Step 4: Simplify right side
    387.31x = 202,871.33
  5. Step 5: Solve for x
    x = 202,871.33/387.31
  6. Step 6: Final answer
    x = 523.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.