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Finding the Fourth Proportional to 535.45, 803.25 and 210.78

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Solution

The fourth proportional to 535.45, 803.25 and 210.78 is: 316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.45 : 803.25 = 210.78 : x
  2. Step 2: Convert to fraction form
    535.45/803.25 = 210.78/x
  3. Step 3: Cross multiply
    535.45x = 803.25 × 210.78
  4. Step 4: Simplify right side
    535.45x = 169,309.04
  5. Step 5: Solve for x
    x = 169,309.04/535.45
  6. Step 6: Final answer
    x = 316.20

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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.