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Finding the Fourth Proportional to 247.87, 373.52 and 205.49

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Solution

The fourth proportional to 247.87, 373.52 and 205.49 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.87 : 373.52 = 205.49 : x
  2. Step 2: Convert to fraction form
    247.87/373.52 = 205.49/x
  3. Step 3: Cross multiply
    247.87x = 373.52 × 205.49
  4. Step 4: Simplify right side
    247.87x = 76,754.62
  5. Step 5: Solve for x
    x = 76,754.62/247.87
  6. Step 6: Final answer
    x = 309.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.