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Finding the Fourth Proportional to 281.07, 421.91 and 212.52

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Solution

The fourth proportional to 281.07, 421.91 and 212.52 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 421.91 = 212.52 : x
  2. Step 2: Convert to fraction form
    281.07/421.91 = 212.52/x
  3. Step 3: Cross multiply
    281.07x = 421.91 × 212.52
  4. Step 4: Simplify right side
    281.07x = 89,665.63
  5. Step 5: Solve for x
    x = 89,665.63/281.07
  6. Step 6: Final answer
    x = 319.02

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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.