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Finding the Fourth Proportional to 281.26, 423.53 and 208.65

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Solution

The fourth proportional to 281.26, 423.53 and 208.65 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 423.53 = 208.65 : x
  2. Step 2: Convert to fraction form
    281.26/423.53 = 208.65/x
  3. Step 3: Cross multiply
    281.26x = 423.53 × 208.65
  4. Step 4: Simplify right side
    281.26x = 88,367.29
  5. Step 5: Solve for x
    x = 88,367.29/281.26
  6. Step 6: Final answer
    x = 314.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.