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Finding the Fourth Proportional to 279.88, 417.49 and 234.52

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Solution

The fourth proportional to 279.88, 417.49 and 234.52 is: 349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 417.49 = 234.52 : x
  2. Step 2: Convert to fraction form
    279.88/417.49 = 234.52/x
  3. Step 3: Cross multiply
    279.88x = 417.49 × 234.52
  4. Step 4: Simplify right side
    279.88x = 97,909.75
  5. Step 5: Solve for x
    x = 97,909.75/279.88
  6. Step 6: Final answer
    x = 349.83

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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.