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Finding the Fourth Proportional to 398.82, 547.13 and 388.02

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Solution

The fourth proportional to 398.82, 547.13 and 388.02 is: 532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.82 : 547.13 = 388.02 : x
  2. Step 2: Convert to fraction form
    398.82/547.13 = 388.02/x
  3. Step 3: Cross multiply
    398.82x = 547.13 × 388.02
  4. Step 4: Simplify right side
    398.82x = 212,298.16
  5. Step 5: Solve for x
    x = 212,298.16/398.82
  6. Step 6: Final answer
    x = 532.31

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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.