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Finding the Fourth Proportional to 316.76, 471.97 and 282.68

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Solution

The fourth proportional to 316.76, 471.97 and 282.68 is: 421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 471.97 = 282.68 : x
  2. Step 2: Convert to fraction form
    316.76/471.97 = 282.68/x
  3. Step 3: Cross multiply
    316.76x = 471.97 × 282.68
  4. Step 4: Simplify right side
    316.76x = 133,416.48
  5. Step 5: Solve for x
    x = 133,416.48/316.76
  6. Step 6: Final answer
    x = 421.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.