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Finding the Fourth Proportional to 178.38, 244.98 and 149.22

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Solution

The fourth proportional to 178.38, 244.98 and 149.22 is: 204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 244.98 = 149.22 : x
  2. Step 2: Convert to fraction form
    178.38/244.98 = 149.22/x
  3. Step 3: Cross multiply
    178.38x = 244.98 × 149.22
  4. Step 4: Simplify right side
    178.38x = 36,555.92
  5. Step 5: Solve for x
    x = 36,555.92/178.38
  6. Step 6: Final answer
    x = 204.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.