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Finding the Fourth Proportional to 394.10, 591.35 and 159.83

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Solution

The fourth proportional to 394.10, 591.35 and 159.83 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 591.35 = 159.83 : x
  2. Step 2: Convert to fraction form
    394.10/591.35 = 159.83/x
  3. Step 3: Cross multiply
    394.10x = 591.35 × 159.83
  4. Step 4: Simplify right side
    394.10x = 94,511.71
  5. Step 5: Solve for x
    x = 94,511.71/394.10
  6. Step 6: Final answer
    x = 239.82

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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.