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Finding the Fourth Proportional to 416.03, 574.19 and 276.14

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Solution

The fourth proportional to 416.03, 574.19 and 276.14 is: 381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.03 : 574.19 = 276.14 : x
  2. Step 2: Convert to fraction form
    416.03/574.19 = 276.14/x
  3. Step 3: Cross multiply
    416.03x = 574.19 × 276.14
  4. Step 4: Simplify right side
    416.03x = 158,552.57
  5. Step 5: Solve for x
    x = 158,552.57/416.03
  6. Step 6: Final answer
    x = 381.11

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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.