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Finding the Fourth Proportional to 91.72, 137.59 and 30.86

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Solution

The fourth proportional to 91.72, 137.59 and 30.86 is: 46.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.72 : 137.59 = 30.86 : x
  2. Step 2: Convert to fraction form
    91.72/137.59 = 30.86/x
  3. Step 3: Cross multiply
    91.72x = 137.59 × 30.86
  4. Step 4: Simplify right side
    91.72x = 4,246.03
  5. Step 5: Solve for x
    x = 4,246.03/91.72
  6. Step 6: Final answer
    x = 46.29

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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.