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Finding the Fourth Proportional to 215.30, 323.20 and 112.70

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Solution

The fourth proportional to 215.30, 323.20 and 112.70 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.30 : 323.20 = 112.70 : x
  2. Step 2: Convert to fraction form
    215.30/323.20 = 112.70/x
  3. Step 3: Cross multiply
    215.30x = 323.20 × 112.70
  4. Step 4: Simplify right side
    215.30x = 36,424.64
  5. Step 5: Solve for x
    x = 36,424.64/215.30
  6. Step 6: Final answer
    x = 169.18

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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.