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Finding the Fourth Proportional to 242.42, 334.46 and 138.92

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Solution

The fourth proportional to 242.42, 334.46 and 138.92 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.42 : 334.46 = 138.92 : x
  2. Step 2: Convert to fraction form
    242.42/334.46 = 138.92/x
  3. Step 3: Cross multiply
    242.42x = 334.46 × 138.92
  4. Step 4: Simplify right side
    242.42x = 46,463.18
  5. Step 5: Solve for x
    x = 46,463.18/242.42
  6. Step 6: Final answer
    x = 191.66

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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.