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Finding the Fourth Proportional to 398.96, 547 and 388.16

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Solution

The fourth proportional to 398.96, 547 and 388.16 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 547 = 388.16 : x
  2. Step 2: Convert to fraction form
    398.96/547 = 388.16/x
  3. Step 3: Cross multiply
    398.96x = 547 × 388.16
  4. Step 4: Simplify right side
    398.96x = 212,323.52
  5. Step 5: Solve for x
    x = 212,323.52/398.96
  6. Step 6: Final answer
    x = 532.19

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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.