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Finding the Fourth Proportional to 177.29, 263.84 and 170.81

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Solution

The fourth proportional to 177.29, 263.84 and 170.81 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.29 : 263.84 = 170.81 : x
  2. Step 2: Convert to fraction form
    177.29/263.84 = 170.81/x
  3. Step 3: Cross multiply
    177.29x = 263.84 × 170.81
  4. Step 4: Simplify right side
    177.29x = 45,064.34
  5. Step 5: Solve for x
    x = 45,064.34/177.29
  6. Step 6: Final answer
    x = 254.19

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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.