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Finding the Fourth Proportional to 270.98, 404.08 and 251.13

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Solution

The fourth proportional to 270.98, 404.08 and 251.13 is: 374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 404.08 = 251.13 : x
  2. Step 2: Convert to fraction form
    270.98/404.08 = 251.13/x
  3. Step 3: Cross multiply
    270.98x = 404.08 × 251.13
  4. Step 4: Simplify right side
    270.98x = 101,476.61
  5. Step 5: Solve for x
    x = 101,476.61/270.98
  6. Step 6: Final answer
    x = 374.48

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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.