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Finding the Fourth Proportional to 398.46, 593 and 397.26

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Solution

The fourth proportional to 398.46, 593 and 397.26 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.46 : 593 = 397.26 : x
  2. Step 2: Convert to fraction form
    398.46/593 = 397.26/x
  3. Step 3: Cross multiply
    398.46x = 593 × 397.26
  4. Step 4: Simplify right side
    398.46x = 235,575.18
  5. Step 5: Solve for x
    x = 235,575.18/398.46
  6. Step 6: Final answer
    x = 591.21

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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.