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Finding the Fourth Proportional to 534.02, 800.46 and 191.78

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Solution

The fourth proportional to 534.02, 800.46 and 191.78 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 800.46 = 191.78 : x
  2. Step 2: Convert to fraction form
    534.02/800.46 = 191.78/x
  3. Step 3: Cross multiply
    534.02x = 800.46 × 191.78
  4. Step 4: Simplify right side
    534.02x = 153,512.22
  5. Step 5: Solve for x
    x = 153,512.22/534.02
  6. Step 6: Final answer
    x = 287.47

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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.