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Finding the Fourth Proportional to 316.26, 476.25 and 276.17

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Solution

The fourth proportional to 316.26, 476.25 and 276.17 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.26 : 476.25 = 276.17 : x
  2. Step 2: Convert to fraction form
    316.26/476.25 = 276.17/x
  3. Step 3: Cross multiply
    316.26x = 476.25 × 276.17
  4. Step 4: Simplify right side
    316.26x = 131,523.58
  5. Step 5: Solve for x
    x = 131,523.58/316.26
  6. Step 6: Final answer
    x = 415.87

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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.