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Finding the Fourth Proportional to 69.46, 103.92 and 58.05

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Solution

The fourth proportional to 69.46, 103.92 and 58.05 is: 86.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.46 : 103.92 = 58.05 : x
  2. Step 2: Convert to fraction form
    69.46/103.92 = 58.05/x
  3. Step 3: Cross multiply
    69.46x = 103.92 × 58.05
  4. Step 4: Simplify right side
    69.46x = 6,032.34
  5. Step 5: Solve for x
    x = 6,032.34/69.46
  6. Step 6: Final answer
    x = 86.85

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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.