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Finding the Fourth Proportional to 279.20, 384.96 and 232.64

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Solution

The fourth proportional to 279.20, 384.96 and 232.64 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 384.96 = 232.64 : x
  2. Step 2: Convert to fraction form
    279.20/384.96 = 232.64/x
  3. Step 3: Cross multiply
    279.20x = 384.96 × 232.64
  4. Step 4: Simplify right side
    279.20x = 89,557.09
  5. Step 5: Solve for x
    x = 89,557.09/279.20
  6. Step 6: Final answer
    x = 320.76

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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.