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Finding the Fourth Proportional to 279.96, 420.12 and 117.72

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Solution

The fourth proportional to 279.96, 420.12 and 117.72 is: 176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 420.12 = 117.72 : x
  2. Step 2: Convert to fraction form
    279.96/420.12 = 117.72/x
  3. Step 3: Cross multiply
    279.96x = 420.12 × 117.72
  4. Step 4: Simplify right side
    279.96x = 49,456.53
  5. Step 5: Solve for x
    x = 49,456.53/279.96
  6. Step 6: Final answer
    x = 176.66

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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.