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Finding the Fourth Proportional to 468.78, 701.80 and 273.18

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Solution

The fourth proportional to 468.78, 701.80 and 273.18 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 701.80 = 273.18 : x
  2. Step 2: Convert to fraction form
    468.78/701.80 = 273.18/x
  3. Step 3: Cross multiply
    468.78x = 701.80 × 273.18
  4. Step 4: Simplify right side
    468.78x = 191,717.72
  5. Step 5: Solve for x
    x = 191,717.72/468.78
  6. Step 6: Final answer
    x = 408.97

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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.