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Finding the Fourth Proportional to 273, 409.34 and 135.86

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Solution

The fourth proportional to 273, 409.34 and 135.86 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 409.34 = 135.86 : x
  2. Step 2: Convert to fraction form
    273/409.34 = 135.86/x
  3. Step 3: Cross multiply
    273x = 409.34 × 135.86
  4. Step 4: Simplify right side
    273x = 55,612.93
  5. Step 5: Solve for x
    x = 55,612.93/273
  6. Step 6: Final answer
    x = 203.71

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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.