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Finding the Fourth Proportional to 281.52, 421.74 and 208.68

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Solution

The fourth proportional to 281.52, 421.74 and 208.68 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 421.74 = 208.68 : x
  2. Step 2: Convert to fraction form
    281.52/421.74 = 208.68/x
  3. Step 3: Cross multiply
    281.52x = 421.74 × 208.68
  4. Step 4: Simplify right side
    281.52x = 88,008.70
  5. Step 5: Solve for x
    x = 88,008.70/281.52
  6. Step 6: Final answer
    x = 312.62

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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.