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Finding the Fourth Proportional to 177.05, 263.86 and 170.57

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Solution

The fourth proportional to 177.05, 263.86 and 170.57 is: 254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 263.86 = 170.57 : x
  2. Step 2: Convert to fraction form
    177.05/263.86 = 170.57/x
  3. Step 3: Cross multiply
    177.05x = 263.86 × 170.57
  4. Step 4: Simplify right side
    177.05x = 45,006.83
  5. Step 5: Solve for x
    x = 45,006.83/177.05
  6. Step 6: Final answer
    x = 254.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.