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Finding the Fourth Proportional to 280.71, 387.18 and 211.02

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Solution

The fourth proportional to 280.71, 387.18 and 211.02 is: 291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 387.18 = 211.02 : x
  2. Step 2: Convert to fraction form
    280.71/387.18 = 211.02/x
  3. Step 3: Cross multiply
    280.71x = 387.18 × 211.02
  4. Step 4: Simplify right side
    280.71x = 81,702.72
  5. Step 5: Solve for x
    x = 81,702.72/280.71
  6. Step 6: Final answer
    x = 291.06

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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.