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Finding the Fourth Proportional to 535.34, 803.37 and 261.62

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Solution

The fourth proportional to 535.34, 803.37 and 261.62 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.34 : 803.37 = 261.62 : x
  2. Step 2: Convert to fraction form
    535.34/803.37 = 261.62/x
  3. Step 3: Cross multiply
    535.34x = 803.37 × 261.62
  4. Step 4: Simplify right side
    535.34x = 210,177.66
  5. Step 5: Solve for x
    x = 210,177.66/535.34
  6. Step 6: Final answer
    x = 392.61

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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.