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Finding the Fourth Proportional to 247.71, 368.91 and 232.71

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Solution

The fourth proportional to 247.71, 368.91 and 232.71 is: 346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.71 : 368.91 = 232.71 : x
  2. Step 2: Convert to fraction form
    247.71/368.91 = 232.71/x
  3. Step 3: Cross multiply
    247.71x = 368.91 × 232.71
  4. Step 4: Simplify right side
    247.71x = 85,849.05
  5. Step 5: Solve for x
    x = 85,849.05/247.71
  6. Step 6: Final answer
    x = 346.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.