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Finding the Fourth Proportional to 242.56, 334.48 and 180.29

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Solution

The fourth proportional to 242.56, 334.48 and 180.29 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 334.48 = 180.29 : x
  2. Step 2: Convert to fraction form
    242.56/334.48 = 180.29/x
  3. Step 3: Cross multiply
    242.56x = 334.48 × 180.29
  4. Step 4: Simplify right side
    242.56x = 60,304.12
  5. Step 5: Solve for x
    x = 60,304.12/242.56
  6. Step 6: Final answer
    x = 248.61

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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.