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Finding the Fourth Proportional to 177.05, 264.29 and 169.16

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Solution

The fourth proportional to 177.05, 264.29 and 169.16 is: 252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 264.29 = 169.16 : x
  2. Step 2: Convert to fraction form
    177.05/264.29 = 169.16/x
  3. Step 3: Cross multiply
    177.05x = 264.29 × 169.16
  4. Step 4: Simplify right side
    177.05x = 44,706.45
  5. Step 5: Solve for x
    x = 44,706.45/177.05
  6. Step 6: Final answer
    x = 252.51

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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.