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Finding the Fourth Proportional to 535.88, 803.91 and 272.48

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Solution

The fourth proportional to 535.88, 803.91 and 272.48 is: 408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 803.91 = 272.48 : x
  2. Step 2: Convert to fraction form
    535.88/803.91 = 272.48/x
  3. Step 3: Cross multiply
    535.88x = 803.91 × 272.48
  4. Step 4: Simplify right side
    535.88x = 219,045.38
  5. Step 5: Solve for x
    x = 219,045.38/535.88
  6. Step 6: Final answer
    x = 408.76

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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.