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Finding the Fourth Proportional to 175.66, 261.42 and 169.18

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Solution

The fourth proportional to 175.66, 261.42 and 169.18 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.66 : 261.42 = 169.18 : x
  2. Step 2: Convert to fraction form
    175.66/261.42 = 169.18/x
  3. Step 3: Cross multiply
    175.66x = 261.42 × 169.18
  4. Step 4: Simplify right side
    175.66x = 44,225.75
  5. Step 5: Solve for x
    x = 44,225.75/175.66
  6. Step 6: Final answer
    x = 251.77

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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.