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Finding the Fourth Proportional to 543.95, 816.05 and 159.20

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Solution

The fourth proportional to 543.95, 816.05 and 159.20 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.95 : 816.05 = 159.20 : x
  2. Step 2: Convert to fraction form
    543.95/816.05 = 159.20/x
  3. Step 3: Cross multiply
    543.95x = 816.05 × 159.20
  4. Step 4: Simplify right side
    543.95x = 129,910.28
  5. Step 5: Solve for x
    x = 129,910.28/543.95
  6. Step 6: Final answer
    x = 238.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.