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Finding the Fourth Proportional to 316.41, 474.61 and 82.15

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Solution

The fourth proportional to 316.41, 474.61 and 82.15 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.41 : 474.61 = 82.15 : x
  2. Step 2: Convert to fraction form
    316.41/474.61 = 82.15/x
  3. Step 3: Cross multiply
    316.41x = 474.61 × 82.15
  4. Step 4: Simplify right side
    316.41x = 38,986.43
  5. Step 5: Solve for x
    x = 38,986.43/316.41
  6. Step 6: Final answer
    x = 123.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.