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Finding the Fourth Proportional to 77.28, 116.05 and 48.35

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Solution

The fourth proportional to 77.28, 116.05 and 48.35 is: 72.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 116.05 = 48.35 : x
  2. Step 2: Convert to fraction form
    77.28/116.05 = 48.35/x
  3. Step 3: Cross multiply
    77.28x = 116.05 × 48.35
  4. Step 4: Simplify right side
    77.28x = 5,611.02
  5. Step 5: Solve for x
    x = 5,611.02/77.28
  6. Step 6: Final answer
    x = 72.61

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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.