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Finding the Fourth Proportional to 415.88, 574.15 and 276.19

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Solution

The fourth proportional to 415.88, 574.15 and 276.19 is: 381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 574.15 = 276.19 : x
  2. Step 2: Convert to fraction form
    415.88/574.15 = 276.19/x
  3. Step 3: Cross multiply
    415.88x = 574.15 × 276.19
  4. Step 4: Simplify right side
    415.88x = 158,574.66
  5. Step 5: Solve for x
    x = 158,574.66/415.88
  6. Step 6: Final answer
    x = 381.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.