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Finding the Fourth Proportional to 535.82, 803.90 and 211.01

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Solution

The fourth proportional to 535.82, 803.90 and 211.01 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 803.90 = 211.01 : x
  2. Step 2: Convert to fraction form
    535.82/803.90 = 211.01/x
  3. Step 3: Cross multiply
    535.82x = 803.90 × 211.01
  4. Step 4: Simplify right side
    535.82x = 169,627.45
  5. Step 5: Solve for x
    x = 169,627.45/535.82
  6. Step 6: Final answer
    x = 316.58

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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.