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Finding the Fourth Proportional to 318.16, 438.85 and 200.07

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Solution

The fourth proportional to 318.16, 438.85 and 200.07 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 438.85 = 200.07 : x
  2. Step 2: Convert to fraction form
    318.16/438.85 = 200.07/x
  3. Step 3: Cross multiply
    318.16x = 438.85 × 200.07
  4. Step 4: Simplify right side
    318.16x = 87,800.97
  5. Step 5: Solve for x
    x = 87,800.97/318.16
  6. Step 6: Final answer
    x = 275.96

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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.