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Finding the Fourth Proportional to 179.72, 268.13 and 160.22

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Solution

The fourth proportional to 179.72, 268.13 and 160.22 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 268.13 = 160.22 : x
  2. Step 2: Convert to fraction form
    179.72/268.13 = 160.22/x
  3. Step 3: Cross multiply
    179.72x = 268.13 × 160.22
  4. Step 4: Simplify right side
    179.72x = 42,959.79
  5. Step 5: Solve for x
    x = 42,959.79/179.72
  6. Step 6: Final answer
    x = 239.04

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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.