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Finding the Fourth Proportional to 534.32, 801.34 and 205.19

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Solution

The fourth proportional to 534.32, 801.34 and 205.19 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 801.34 = 205.19 : x
  2. Step 2: Convert to fraction form
    534.32/801.34 = 205.19/x
  3. Step 3: Cross multiply
    534.32x = 801.34 × 205.19
  4. Step 4: Simplify right side
    534.32x = 164,426.95
  5. Step 5: Solve for x
    x = 164,426.95/534.32
  6. Step 6: Final answer
    x = 307.73

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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.