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Finding the Fourth Proportional to 176.77, 244.18 and 143.97

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Solution

The fourth proportional to 176.77, 244.18 and 143.97 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 244.18 = 143.97 : x
  2. Step 2: Convert to fraction form
    176.77/244.18 = 143.97/x
  3. Step 3: Cross multiply
    176.77x = 244.18 × 143.97
  4. Step 4: Simplify right side
    176.77x = 35,153.86
  5. Step 5: Solve for x
    x = 35,153.86/176.77
  6. Step 6: Final answer
    x = 198.87

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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.