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Finding the Fourth Proportional to 534.62, 801.90 and 226.34

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Solution

The fourth proportional to 534.62, 801.90 and 226.34 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 801.90 = 226.34 : x
  2. Step 2: Convert to fraction form
    534.62/801.90 = 226.34/x
  3. Step 3: Cross multiply
    534.62x = 801.90 × 226.34
  4. Step 4: Simplify right side
    534.62x = 181,502.05
  5. Step 5: Solve for x
    x = 181,502.05/534.62
  6. Step 6: Final answer
    x = 339.50

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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.