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Finding the Fourth Proportional to 297.98, 411.08 and 187.42

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Solution

The fourth proportional to 297.98, 411.08 and 187.42 is: 258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 411.08 = 187.42 : x
  2. Step 2: Convert to fraction form
    297.98/411.08 = 187.42/x
  3. Step 3: Cross multiply
    297.98x = 411.08 × 187.42
  4. Step 4: Simplify right side
    297.98x = 77,044.61
  5. Step 5: Solve for x
    x = 77,044.61/297.98
  6. Step 6: Final answer
    x = 258.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.