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Finding the Fourth Proportional to 273.84, 410.13 and 165.39

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Solution

The fourth proportional to 273.84, 410.13 and 165.39 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 410.13 = 165.39 : x
  2. Step 2: Convert to fraction form
    273.84/410.13 = 165.39/x
  3. Step 3: Cross multiply
    273.84x = 410.13 × 165.39
  4. Step 4: Simplify right side
    273.84x = 67,831.40
  5. Step 5: Solve for x
    x = 67,831.40/273.84
  6. Step 6: Final answer
    x = 247.70

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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.