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Finding the Fourth Proportional to 179.88, 268.68 and 159.72

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Solution

The fourth proportional to 179.88, 268.68 and 159.72 is: 238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 268.68 = 159.72 : x
  2. Step 2: Convert to fraction form
    179.88/268.68 = 159.72/x
  3. Step 3: Cross multiply
    179.88x = 268.68 × 159.72
  4. Step 4: Simplify right side
    179.88x = 42,913.57
  5. Step 5: Solve for x
    x = 42,913.57/179.88
  6. Step 6: Final answer
    x = 238.57

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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.