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Finding the Fourth Proportional to 398.04, 593.86 and 354.18

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Solution

The fourth proportional to 398.04, 593.86 and 354.18 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.04 : 593.86 = 354.18 : x
  2. Step 2: Convert to fraction form
    398.04/593.86 = 354.18/x
  3. Step 3: Cross multiply
    398.04x = 593.86 × 354.18
  4. Step 4: Simplify right side
    398.04x = 210,331.56
  5. Step 5: Solve for x
    x = 210,331.56/398.04
  6. Step 6: Final answer
    x = 528.42

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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.