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Finding the Fourth Proportional to 177.44, 242.70 and 176.83

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Solution

The fourth proportional to 177.44, 242.70 and 176.83 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 242.70 = 176.83 : x
  2. Step 2: Convert to fraction form
    177.44/242.70 = 176.83/x
  3. Step 3: Cross multiply
    177.44x = 242.70 × 176.83
  4. Step 4: Simplify right side
    177.44x = 42,916.74
  5. Step 5: Solve for x
    x = 42,916.74/177.44
  6. Step 6: Final answer
    x = 241.87

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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.