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Finding the Fourth Proportional to 535.95, 804.20 and 261.99

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Solution

The fourth proportional to 535.95, 804.20 and 261.99 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 804.20 = 261.99 : x
  2. Step 2: Convert to fraction form
    535.95/804.20 = 261.99/x
  3. Step 3: Cross multiply
    535.95x = 804.20 × 261.99
  4. Step 4: Simplify right side
    535.95x = 210,691.05
  5. Step 5: Solve for x
    x = 210,691.05/535.95
  6. Step 6: Final answer
    x = 393.12

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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.