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Finding the Fourth Proportional to 280.82, 421.34 and 159.18

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Solution

The fourth proportional to 280.82, 421.34 and 159.18 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 421.34 = 159.18 : x
  2. Step 2: Convert to fraction form
    280.82/421.34 = 159.18/x
  3. Step 3: Cross multiply
    280.82x = 421.34 × 159.18
  4. Step 4: Simplify right side
    280.82x = 67,068.11
  5. Step 5: Solve for x
    x = 67,068.11/280.82
  6. Step 6: Final answer
    x = 238.83

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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.