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Finding the Fourth Proportional to 281.77, 421.91 and 195.17

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Solution

The fourth proportional to 281.77, 421.91 and 195.17 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 421.91 = 195.17 : x
  2. Step 2: Convert to fraction form
    281.77/421.91 = 195.17/x
  3. Step 3: Cross multiply
    281.77x = 421.91 × 195.17
  4. Step 4: Simplify right side
    281.77x = 82,341.82
  5. Step 5: Solve for x
    x = 82,341.82/281.77
  6. Step 6: Final answer
    x = 292.23

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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.