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Finding the Fourth Proportional to 534.15, 800.97 and 225.93

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Solution

The fourth proportional to 534.15, 800.97 and 225.93 is: 338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.15 : 800.97 = 225.93 : x
  2. Step 2: Convert to fraction form
    534.15/800.97 = 225.93/x
  3. Step 3: Cross multiply
    534.15x = 800.97 × 225.93
  4. Step 4: Simplify right side
    534.15x = 180,963.15
  5. Step 5: Solve for x
    x = 180,963.15/534.15
  6. Step 6: Final answer
    x = 338.79

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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.