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Finding the Fourth Proportional to 416.45, 574.94 and 276.76

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Solution

The fourth proportional to 416.45, 574.94 and 276.76 is: 382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.45 : 574.94 = 276.76 : x
  2. Step 2: Convert to fraction form
    416.45/574.94 = 276.76/x
  3. Step 3: Cross multiply
    416.45x = 574.94 × 276.76
  4. Step 4: Simplify right side
    416.45x = 159,116.14
  5. Step 5: Solve for x
    x = 159,116.14/416.45
  6. Step 6: Final answer
    x = 382.08

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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.