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Finding the Fourth Proportional to 318.93, 439.92 and 200.94

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Solution

The fourth proportional to 318.93, 439.92 and 200.94 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.93 : 439.92 = 200.94 : x
  2. Step 2: Convert to fraction form
    318.93/439.92 = 200.94/x
  3. Step 3: Cross multiply
    318.93x = 439.92 × 200.94
  4. Step 4: Simplify right side
    318.93x = 88,397.52
  5. Step 5: Solve for x
    x = 88,397.52/318.93
  6. Step 6: Final answer
    x = 277.17

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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.