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Finding the Fourth Proportional to 416.86, 575 and 276.96

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Solution

The fourth proportional to 416.86, 575 and 276.96 is: 382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 575 = 276.96 : x
  2. Step 2: Convert to fraction form
    416.86/575 = 276.96/x
  3. Step 3: Cross multiply
    416.86x = 575 × 276.96
  4. Step 4: Simplify right side
    416.86x = 159,252
  5. Step 5: Solve for x
    x = 159,252/416.86
  6. Step 6: Final answer
    x = 382.03

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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.