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Finding the Fourth Proportional to 387.08, 577.12 and 356.12

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Solution

The fourth proportional to 387.08, 577.12 and 356.12 is: 530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 577.12 = 356.12 : x
  2. Step 2: Convert to fraction form
    387.08/577.12 = 356.12/x
  3. Step 3: Cross multiply
    387.08x = 577.12 × 356.12
  4. Step 4: Simplify right side
    387.08x = 205,523.97
  5. Step 5: Solve for x
    x = 205,523.97/387.08
  6. Step 6: Final answer
    x = 530.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.