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Finding the Fourth Proportional to 889.92, 1,335.12 and 273.64

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Solution

The fourth proportional to 889.92, 1,335.12 and 273.64 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,335.12 = 273.64 : x
  2. Step 2: Convert to fraction form
    889.92/1,335.12 = 273.64/x
  3. Step 3: Cross multiply
    889.92x = 1,335.12 × 273.64
  4. Step 4: Simplify right side
    889.92x = 365,342.24
  5. Step 5: Solve for x
    x = 365,342.24/889.92
  6. Step 6: Final answer
    x = 410.53

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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.