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Finding the Fourth Proportional to 534.20, 800.76 and 290.22

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Solution

The fourth proportional to 534.20, 800.76 and 290.22 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 800.76 = 290.22 : x
  2. Step 2: Convert to fraction form
    534.20/800.76 = 290.22/x
  3. Step 3: Cross multiply
    534.20x = 800.76 × 290.22
  4. Step 4: Simplify right side
    534.20x = 232,396.57
  5. Step 5: Solve for x
    x = 232,396.57/534.20
  6. Step 6: Final answer
    x = 435.04

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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.