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Finding the Fourth Proportional to 242.33, 362.58 and 134.19

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Solution

The fourth proportional to 242.33, 362.58 and 134.19 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 362.58 = 134.19 : x
  2. Step 2: Convert to fraction form
    242.33/362.58 = 134.19/x
  3. Step 3: Cross multiply
    242.33x = 362.58 × 134.19
  4. Step 4: Simplify right side
    242.33x = 48,654.11
  5. Step 5: Solve for x
    x = 48,654.11/242.33
  6. Step 6: Final answer
    x = 200.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.