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Finding the Fourth Proportional to 242.56, 361.49 and 234.76

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Solution

The fourth proportional to 242.56, 361.49 and 234.76 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 361.49 = 234.76 : x
  2. Step 2: Convert to fraction form
    242.56/361.49 = 234.76/x
  3. Step 3: Cross multiply
    242.56x = 361.49 × 234.76
  4. Step 4: Simplify right side
    242.56x = 84,863.39
  5. Step 5: Solve for x
    x = 84,863.39/242.56
  6. Step 6: Final answer
    x = 349.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.