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Finding the Fourth Proportional to 281.27, 421.93 and 108.08

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Solution

The fourth proportional to 281.27, 421.93 and 108.08 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.27 : 421.93 = 108.08 : x
  2. Step 2: Convert to fraction form
    281.27/421.93 = 108.08/x
  3. Step 3: Cross multiply
    281.27x = 421.93 × 108.08
  4. Step 4: Simplify right side
    281.27x = 45,601.65
  5. Step 5: Solve for x
    x = 45,601.65/281.27
  6. Step 6: Final answer
    x = 162.13

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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.