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Finding the Fourth Proportional to 177.81, 244.85 and 173.77

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Solution

The fourth proportional to 177.81, 244.85 and 173.77 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 244.85 = 173.77 : x
  2. Step 2: Convert to fraction form
    177.81/244.85 = 173.77/x
  3. Step 3: Cross multiply
    177.81x = 244.85 × 173.77
  4. Step 4: Simplify right side
    177.81x = 42,545.49
  5. Step 5: Solve for x
    x = 42,545.49/177.81
  6. Step 6: Final answer
    x = 239.28

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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.