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Finding the Fourth Proportional to 211.84, 291.96 and 206.08

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Solution

The fourth proportional to 211.84, 291.96 and 206.08 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 291.96 = 206.08 : x
  2. Step 2: Convert to fraction form
    211.84/291.96 = 206.08/x
  3. Step 3: Cross multiply
    211.84x = 291.96 × 206.08
  4. Step 4: Simplify right side
    211.84x = 60,166.39
  5. Step 5: Solve for x
    x = 60,166.39/211.84
  6. Step 6: Final answer
    x = 284.02

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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.