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Finding the Fourth Proportional to 318.76, 439.74 and 202.42

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Solution

The fourth proportional to 318.76, 439.74 and 202.42 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 439.74 = 202.42 : x
  2. Step 2: Convert to fraction form
    318.76/439.74 = 202.42/x
  3. Step 3: Cross multiply
    318.76x = 439.74 × 202.42
  4. Step 4: Simplify right side
    318.76x = 89,012.17
  5. Step 5: Solve for x
    x = 89,012.17/318.76
  6. Step 6: Final answer
    x = 279.25

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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.