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Finding the Fourth Proportional to 242.25, 334.37 and 149.06

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Solution

The fourth proportional to 242.25, 334.37 and 149.06 is: 205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 334.37 = 149.06 : x
  2. Step 2: Convert to fraction form
    242.25/334.37 = 149.06/x
  3. Step 3: Cross multiply
    242.25x = 334.37 × 149.06
  4. Step 4: Simplify right side
    242.25x = 49,838.78
  5. Step 5: Solve for x
    x = 49,838.78/242.25
  6. Step 6: Final answer
    x = 205.73

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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.