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Finding the Fourth Proportional to 293.60, 440.39 and 77.15

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Solution

The fourth proportional to 293.60, 440.39 and 77.15 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 440.39 = 77.15 : x
  2. Step 2: Convert to fraction form
    293.60/440.39 = 77.15/x
  3. Step 3: Cross multiply
    293.60x = 440.39 × 77.15
  4. Step 4: Simplify right side
    293.60x = 33,974.08
  5. Step 5: Solve for x
    x = 33,974.08/293.60
  6. Step 6: Final answer
    x = 115.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.