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Finding the Fourth Proportional to 276.86, 416.10 and 181.28

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Solution

The fourth proportional to 276.86, 416.10 and 181.28 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 416.10 = 181.28 : x
  2. Step 2: Convert to fraction form
    276.86/416.10 = 181.28/x
  3. Step 3: Cross multiply
    276.86x = 416.10 × 181.28
  4. Step 4: Simplify right side
    276.86x = 75,430.61
  5. Step 5: Solve for x
    x = 75,430.61/276.86
  6. Step 6: Final answer
    x = 272.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.