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Finding the Fourth Proportional to 177.72, 264.96 and 170.04

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Solution

The fourth proportional to 177.72, 264.96 and 170.04 is: 253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 264.96 = 170.04 : x
  2. Step 2: Convert to fraction form
    177.72/264.96 = 170.04/x
  3. Step 3: Cross multiply
    177.72x = 264.96 × 170.04
  4. Step 4: Simplify right side
    177.72x = 45,053.80
  5. Step 5: Solve for x
    x = 45,053.80/177.72
  6. Step 6: Final answer
    x = 253.51

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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.