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Finding the Fourth Proportional to 534.26, 801.39 and 352.81

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Solution

The fourth proportional to 534.26, 801.39 and 352.81 is: 529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 801.39 = 352.81 : x
  2. Step 2: Convert to fraction form
    534.26/801.39 = 352.81/x
  3. Step 3: Cross multiply
    534.26x = 801.39 × 352.81
  4. Step 4: Simplify right side
    534.26x = 282,734.40
  5. Step 5: Solve for x
    x = 282,734.40/534.26
  6. Step 6: Final answer
    x = 529.21

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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.