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Finding the Fourth Proportional to 398.31, 597.18 and 192.66

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Solution

The fourth proportional to 398.31, 597.18 and 192.66 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 597.18 = 192.66 : x
  2. Step 2: Convert to fraction form
    398.31/597.18 = 192.66/x
  3. Step 3: Cross multiply
    398.31x = 597.18 × 192.66
  4. Step 4: Simplify right side
    398.31x = 115,052.70
  5. Step 5: Solve for x
    x = 115,052.70/398.31
  6. Step 6: Final answer
    x = 288.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.