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Finding the Fourth Proportional to 231.16, 346.86 and 179.90

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Solution

The fourth proportional to 231.16, 346.86 and 179.90 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 346.86 = 179.90 : x
  2. Step 2: Convert to fraction form
    231.16/346.86 = 179.90/x
  3. Step 3: Cross multiply
    231.16x = 346.86 × 179.90
  4. Step 4: Simplify right side
    231.16x = 62,400.98
  5. Step 5: Solve for x
    x = 62,400.98/231.16
  6. Step 6: Final answer
    x = 269.95

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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.