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Finding the Fourth Proportional to 316.38, 476.57 and 282.54

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Solution

The fourth proportional to 316.38, 476.57 and 282.54 is: 425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 476.57 = 282.54 : x
  2. Step 2: Convert to fraction form
    316.38/476.57 = 282.54/x
  3. Step 3: Cross multiply
    316.38x = 476.57 × 282.54
  4. Step 4: Simplify right side
    316.38x = 134,648.68
  5. Step 5: Solve for x
    x = 134,648.68/316.38
  6. Step 6: Final answer
    x = 425.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.