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Finding the Fourth Proportional to 242.29, 334.54 and 149.07

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Solution

The fourth proportional to 242.29, 334.54 and 149.07 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.29 : 334.54 = 149.07 : x
  2. Step 2: Convert to fraction form
    242.29/334.54 = 149.07/x
  3. Step 3: Cross multiply
    242.29x = 334.54 × 149.07
  4. Step 4: Simplify right side
    242.29x = 49,869.02
  5. Step 5: Solve for x
    x = 49,869.02/242.29
  6. Step 6: Final answer
    x = 205.82

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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.