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Finding the Fourth Proportional to 273.68, 411.16 and 176.36

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Solution

The fourth proportional to 273.68, 411.16 and 176.36 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 411.16 = 176.36 : x
  2. Step 2: Convert to fraction form
    273.68/411.16 = 176.36/x
  3. Step 3: Cross multiply
    273.68x = 411.16 × 176.36
  4. Step 4: Simplify right side
    273.68x = 72,512.18
  5. Step 5: Solve for x
    x = 72,512.18/273.68
  6. Step 6: Final answer
    x = 264.96

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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.