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Finding the Fourth Proportional to 279.86, 420.04 and 115.42

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Solution

The fourth proportional to 279.86, 420.04 and 115.42 is: 173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.86 : 420.04 = 115.42 : x
  2. Step 2: Convert to fraction form
    279.86/420.04 = 115.42/x
  3. Step 3: Cross multiply
    279.86x = 420.04 × 115.42
  4. Step 4: Simplify right side
    279.86x = 48,481.02
  5. Step 5: Solve for x
    x = 48,481.02/279.86
  6. Step 6: Final answer
    x = 173.23

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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.