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Finding the Fourth Proportional to 243.16, 332.69 and 242.14

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Solution

The fourth proportional to 243.16, 332.69 and 242.14 is: 331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 332.69 = 242.14 : x
  2. Step 2: Convert to fraction form
    243.16/332.69 = 242.14/x
  3. Step 3: Cross multiply
    243.16x = 332.69 × 242.14
  4. Step 4: Simplify right side
    243.16x = 80,557.56
  5. Step 5: Solve for x
    x = 80,557.56/243.16
  6. Step 6: Final answer
    x = 331.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.