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Finding the Fourth Proportional to 281.27, 421.49 and 261.02

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Solution

The fourth proportional to 281.27, 421.49 and 261.02 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.27 : 421.49 = 261.02 : x
  2. Step 2: Convert to fraction form
    281.27/421.49 = 261.02/x
  3. Step 3: Cross multiply
    281.27x = 421.49 × 261.02
  4. Step 4: Simplify right side
    281.27x = 110,017.32
  5. Step 5: Solve for x
    x = 110,017.32/281.27
  6. Step 6: Final answer
    x = 391.14

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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.