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Finding the Fourth Proportional to 535.52, 803.43 and 170.30

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Solution

The fourth proportional to 535.52, 803.43 and 170.30 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.52 : 803.43 = 170.30 : x
  2. Step 2: Convert to fraction form
    535.52/803.43 = 170.30/x
  3. Step 3: Cross multiply
    535.52x = 803.43 × 170.30
  4. Step 4: Simplify right side
    535.52x = 136,820.11
  5. Step 5: Solve for x
    x = 136,820.11/535.52
  6. Step 6: Final answer
    x = 255.49

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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.