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Finding the Fourth Proportional to 247.71, 342.05 and 154.50

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Solution

The fourth proportional to 247.71, 342.05 and 154.50 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.71 : 342.05 = 154.50 : x
  2. Step 2: Convert to fraction form
    247.71/342.05 = 154.50/x
  3. Step 3: Cross multiply
    247.71x = 342.05 × 154.50
  4. Step 4: Simplify right side
    247.71x = 52,846.73
  5. Step 5: Solve for x
    x = 52,846.73/247.71
  6. Step 6: Final answer
    x = 213.34

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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.