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Finding the Fourth Proportional to 316.68, 434.66 and 280.92

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Solution

The fourth proportional to 316.68, 434.66 and 280.92 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 434.66 = 280.92 : x
  2. Step 2: Convert to fraction form
    316.68/434.66 = 280.92/x
  3. Step 3: Cross multiply
    316.68x = 434.66 × 280.92
  4. Step 4: Simplify right side
    316.68x = 122,104.69
  5. Step 5: Solve for x
    x = 122,104.69/316.68
  6. Step 6: Final answer
    x = 385.58

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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.