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Finding the Fourth Proportional to 280.88, 387.82 and 211.06

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Solution

The fourth proportional to 280.88, 387.82 and 211.06 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 387.82 = 211.06 : x
  2. Step 2: Convert to fraction form
    280.88/387.82 = 211.06/x
  3. Step 3: Cross multiply
    280.88x = 387.82 × 211.06
  4. Step 4: Simplify right side
    280.88x = 81,853.29
  5. Step 5: Solve for x
    x = 81,853.29/280.88
  6. Step 6: Final answer
    x = 291.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.