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Finding the Fourth Proportional to 211.84, 291.88 and 197.55

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Solution

The fourth proportional to 211.84, 291.88 and 197.55 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 291.88 = 197.55 : x
  2. Step 2: Convert to fraction form
    211.84/291.88 = 197.55/x
  3. Step 3: Cross multiply
    211.84x = 291.88 × 197.55
  4. Step 4: Simplify right side
    211.84x = 57,660.40
  5. Step 5: Solve for x
    x = 57,660.40/211.84
  6. Step 6: Final answer
    x = 272.19

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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.