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Finding the Fourth Proportional to 534.28, 800.20 and 290.68

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Solution

The fourth proportional to 534.28, 800.20 and 290.68 is: 435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.28 : 800.20 = 290.68 : x
  2. Step 2: Convert to fraction form
    534.28/800.20 = 290.68/x
  3. Step 3: Cross multiply
    534.28x = 800.20 × 290.68
  4. Step 4: Simplify right side
    534.28x = 232,602.14
  5. Step 5: Solve for x
    x = 232,602.14/534.28
  6. Step 6: Final answer
    x = 435.36

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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.