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Finding the Fourth Proportional to 398.34, 593.15 and 388.02

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Solution

The fourth proportional to 398.34, 593.15 and 388.02 is: 577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.34 : 593.15 = 388.02 : x
  2. Step 2: Convert to fraction form
    398.34/593.15 = 388.02/x
  3. Step 3: Cross multiply
    398.34x = 593.15 × 388.02
  4. Step 4: Simplify right side
    398.34x = 230,152.12
  5. Step 5: Solve for x
    x = 230,152.12/398.34
  6. Step 6: Final answer
    x = 577.78

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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.