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Finding the Fourth Proportional to 211.06, 314.65 and 193.78

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Solution

The fourth proportional to 211.06, 314.65 and 193.78 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 314.65 = 193.78 : x
  2. Step 2: Convert to fraction form
    211.06/314.65 = 193.78/x
  3. Step 3: Cross multiply
    211.06x = 314.65 × 193.78
  4. Step 4: Simplify right side
    211.06x = 60,972.88
  5. Step 5: Solve for x
    x = 60,972.88/211.06
  6. Step 6: Final answer
    x = 288.89

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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.