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Finding the Fourth Proportional to 416.72, 574.78 and 276.77

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Solution

The fourth proportional to 416.72, 574.78 and 276.77 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 574.78 = 276.77 : x
  2. Step 2: Convert to fraction form
    416.72/574.78 = 276.77/x
  3. Step 3: Cross multiply
    416.72x = 574.78 × 276.77
  4. Step 4: Simplify right side
    416.72x = 159,077.60
  5. Step 5: Solve for x
    x = 159,077.60/416.72
  6. Step 6: Final answer
    x = 381.74

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