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Finding the Fourth Proportional to 281.46, 421.99 and 108.10

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Solution

The fourth proportional to 281.46, 421.99 and 108.10 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 421.99 = 108.10 : x
  2. Step 2: Convert to fraction form
    281.46/421.99 = 108.10/x
  3. Step 3: Cross multiply
    281.46x = 421.99 × 108.10
  4. Step 4: Simplify right side
    281.46x = 45,617.12
  5. Step 5: Solve for x
    x = 45,617.12/281.46
  6. Step 6: Final answer
    x = 162.07

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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.