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Finding the Fourth Proportional to 293.24, 439.85 and 76.81

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Solution

The fourth proportional to 293.24, 439.85 and 76.81 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 439.85 = 76.81 : x
  2. Step 2: Convert to fraction form
    293.24/439.85 = 76.81/x
  3. Step 3: Cross multiply
    293.24x = 439.85 × 76.81
  4. Step 4: Simplify right side
    293.24x = 33,786.17
  5. Step 5: Solve for x
    x = 33,786.17/293.24
  6. Step 6: Final answer
    x = 115.22

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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.