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Finding the Fourth Proportional to 465.72, 699.66 and 273.48

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Solution

The fourth proportional to 465.72, 699.66 and 273.48 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 699.66 = 273.48 : x
  2. Step 2: Convert to fraction form
    465.72/699.66 = 273.48/x
  3. Step 3: Cross multiply
    465.72x = 699.66 × 273.48
  4. Step 4: Simplify right side
    465.72x = 191,343.02
  5. Step 5: Solve for x
    x = 191,343.02/465.72
  6. Step 6: Final answer
    x = 410.85

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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.