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Finding the Fourth Proportional to 242.96, 336.86 and 232.88

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Solution

The fourth proportional to 242.96, 336.86 and 232.88 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 336.86 = 232.88 : x
  2. Step 2: Convert to fraction form
    242.96/336.86 = 232.88/x
  3. Step 3: Cross multiply
    242.96x = 336.86 × 232.88
  4. Step 4: Simplify right side
    242.96x = 78,447.96
  5. Step 5: Solve for x
    x = 78,447.96/242.96
  6. Step 6: Final answer
    x = 322.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.