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Finding the Fourth Proportional to 249.30, 375.66 and 206.93

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Solution

The fourth proportional to 249.30, 375.66 and 206.93 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 375.66 = 206.93 : x
  2. Step 2: Convert to fraction form
    249.30/375.66 = 206.93/x
  3. Step 3: Cross multiply
    249.30x = 375.66 × 206.93
  4. Step 4: Simplify right side
    249.30x = 77,736.26
  5. Step 5: Solve for x
    x = 77,736.26/249.30
  6. Step 6: Final answer
    x = 311.82

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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.