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Finding the Fourth Proportional to 215.41, 323.12 and 69.16

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Solution

The fourth proportional to 215.41, 323.12 and 69.16 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.41 : 323.12 = 69.16 : x
  2. Step 2: Convert to fraction form
    215.41/323.12 = 69.16/x
  3. Step 3: Cross multiply
    215.41x = 323.12 × 69.16
  4. Step 4: Simplify right side
    215.41x = 22,346.98
  5. Step 5: Solve for x
    x = 22,346.98/215.41
  6. Step 6: Final answer
    x = 103.74

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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.