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Finding the Fourth Proportional to 179.03, 268.57 and 57.31

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Solution

The fourth proportional to 179.03, 268.57 and 57.31 is: 85.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.03 : 268.57 = 57.31 : x
  2. Step 2: Convert to fraction form
    179.03/268.57 = 57.31/x
  3. Step 3: Cross multiply
    179.03x = 268.57 × 57.31
  4. Step 4: Simplify right side
    179.03x = 15,390.93
  5. Step 5: Solve for x
    x = 15,390.93/179.03
  6. Step 6: Final answer
    x = 85.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.