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Finding the Fourth Proportional to 281, 421.14 and 208.28

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Solution

The fourth proportional to 281, 421.14 and 208.28 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281 : 421.14 = 208.28 : x
  2. Step 2: Convert to fraction form
    281/421.14 = 208.28/x
  3. Step 3: Cross multiply
    281x = 421.14 × 208.28
  4. Step 4: Simplify right side
    281x = 87,715.04
  5. Step 5: Solve for x
    x = 87,715.04/281
  6. Step 6: Final answer
    x = 312.15

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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.