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Finding the Fourth Proportional to 535.44, 803.12 and 275.20

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Solution

The fourth proportional to 535.44, 803.12 and 275.20 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 803.12 = 275.20 : x
  2. Step 2: Convert to fraction form
    535.44/803.12 = 275.20/x
  3. Step 3: Cross multiply
    535.44x = 803.12 × 275.20
  4. Step 4: Simplify right side
    535.44x = 221,018.62
  5. Step 5: Solve for x
    x = 221,018.62/535.44
  6. Step 6: Final answer
    x = 412.78

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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.