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Finding the Fourth Proportional to 316.77, 435.38 and 279.71

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Solution

The fourth proportional to 316.77, 435.38 and 279.71 is: 384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.77 : 435.38 = 279.71 : x
  2. Step 2: Convert to fraction form
    316.77/435.38 = 279.71/x
  3. Step 3: Cross multiply
    316.77x = 435.38 × 279.71
  4. Step 4: Simplify right side
    316.77x = 121,776.56
  5. Step 5: Solve for x
    x = 121,776.56/316.77
  6. Step 6: Final answer
    x = 384.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.