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Finding the Fourth Proportional to 211.16, 314.56 and 197.88

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Solution

The fourth proportional to 211.16, 314.56 and 197.88 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.16 : 314.56 = 197.88 : x
  2. Step 2: Convert to fraction form
    211.16/314.56 = 197.88/x
  3. Step 3: Cross multiply
    211.16x = 314.56 × 197.88
  4. Step 4: Simplify right side
    211.16x = 62,245.13
  5. Step 5: Solve for x
    x = 62,245.13/211.16
  6. Step 6: Final answer
    x = 294.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.