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Finding the Fourth Proportional to 91.53, 126.30 and 50.08

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Solution

The fourth proportional to 91.53, 126.30 and 50.08 is: 69.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 126.30 = 50.08 : x
  2. Step 2: Convert to fraction form
    91.53/126.30 = 50.08/x
  3. Step 3: Cross multiply
    91.53x = 126.30 × 50.08
  4. Step 4: Simplify right side
    91.53x = 6,324.98
  5. Step 5: Solve for x
    x = 6,324.98/91.53
  6. Step 6: Final answer
    x = 69.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.