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Finding the Fourth Proportional to 316.49, 435.83 and 281.66

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Solution

The fourth proportional to 316.49, 435.83 and 281.66 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.49 : 435.83 = 281.66 : x
  2. Step 2: Convert to fraction form
    316.49/435.83 = 281.66/x
  3. Step 3: Cross multiply
    316.49x = 435.83 × 281.66
  4. Step 4: Simplify right side
    316.49x = 122,752.29
  5. Step 5: Solve for x
    x = 122,752.29/316.49
  6. Step 6: Final answer
    x = 387.86

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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.