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Finding the Fourth Proportional to 280.76, 421.19 and 159.09

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Solution

The fourth proportional to 280.76, 421.19 and 159.09 is: 238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 421.19 = 159.09 : x
  2. Step 2: Convert to fraction form
    280.76/421.19 = 159.09/x
  3. Step 3: Cross multiply
    280.76x = 421.19 × 159.09
  4. Step 4: Simplify right side
    280.76x = 67,007.12
  5. Step 5: Solve for x
    x = 67,007.12/280.76
  6. Step 6: Final answer
    x = 238.66

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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.