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Finding the Fourth Proportional to 312.71, 432.09 and 247.73

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Solution

The fourth proportional to 312.71, 432.09 and 247.73 is: 342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 432.09 = 247.73 : x
  2. Step 2: Convert to fraction form
    312.71/432.09 = 247.73/x
  3. Step 3: Cross multiply
    312.71x = 432.09 × 247.73
  4. Step 4: Simplify right side
    312.71x = 107,039.50
  5. Step 5: Solve for x
    x = 107,039.50/312.71
  6. Step 6: Final answer
    x = 342.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.