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Finding the Fourth Proportional to 242.84, 335.15 and 180.57

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Solution

The fourth proportional to 242.84, 335.15 and 180.57 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 335.15 = 180.57 : x
  2. Step 2: Convert to fraction form
    242.84/335.15 = 180.57/x
  3. Step 3: Cross multiply
    242.84x = 335.15 × 180.57
  4. Step 4: Simplify right side
    242.84x = 60,517.13
  5. Step 5: Solve for x
    x = 60,517.13/242.84
  6. Step 6: Final answer
    x = 249.21

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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.