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Finding the Fourth Proportional to 247.46, 342.23 and 206.55

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Solution

The fourth proportional to 247.46, 342.23 and 206.55 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.46 : 342.23 = 206.55 : x
  2. Step 2: Convert to fraction form
    247.46/342.23 = 206.55/x
  3. Step 3: Cross multiply
    247.46x = 342.23 × 206.55
  4. Step 4: Simplify right side
    247.46x = 70,686.57
  5. Step 5: Solve for x
    x = 70,686.57/247.46
  6. Step 6: Final answer
    x = 285.65

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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.