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Finding the Fourth Proportional to 215.57, 323.16 and 78.52

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Solution

The fourth proportional to 215.57, 323.16 and 78.52 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.57 : 323.16 = 78.52 : x
  2. Step 2: Convert to fraction form
    215.57/323.16 = 78.52/x
  3. Step 3: Cross multiply
    215.57x = 323.16 × 78.52
  4. Step 4: Simplify right side
    215.57x = 25,374.52
  5. Step 5: Solve for x
    x = 25,374.52/215.57
  6. Step 6: Final answer
    x = 117.71

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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.