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Finding the Fourth Proportional to 91.15, 136.76 and 52.63

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Solution

The fourth proportional to 91.15, 136.76 and 52.63 is: 78.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.15 : 136.76 = 52.63 : x
  2. Step 2: Convert to fraction form
    91.15/136.76 = 52.63/x
  3. Step 3: Cross multiply
    91.15x = 136.76 × 52.63
  4. Step 4: Simplify right side
    91.15x = 7,197.07
  5. Step 5: Solve for x
    x = 7,197.07/91.15
  6. Step 6: Final answer
    x = 78.96

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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.