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Finding the Fourth Proportional to 281.12, 421.30 and 212.42

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Solution

The fourth proportional to 281.12, 421.30 and 212.42 is: 318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 421.30 = 212.42 : x
  2. Step 2: Convert to fraction form
    281.12/421.30 = 212.42/x
  3. Step 3: Cross multiply
    281.12x = 421.30 × 212.42
  4. Step 4: Simplify right side
    281.12x = 89,493.86
  5. Step 5: Solve for x
    x = 89,493.86/281.12
  6. Step 6: Final answer
    x = 318.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.