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Finding the Fourth Proportional to 247.86, 371.31 and 144.81

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Solution

The fourth proportional to 247.86, 371.31 and 144.81 is: 216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.86 : 371.31 = 144.81 : x
  2. Step 2: Convert to fraction form
    247.86/371.31 = 144.81/x
  3. Step 3: Cross multiply
    247.86x = 371.31 × 144.81
  4. Step 4: Simplify right side
    247.86x = 53,769.40
  5. Step 5: Solve for x
    x = 53,769.40/247.86
  6. Step 6: Final answer
    x = 216.93

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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.