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Finding the Fourth Proportional to 211.95, 294.50 and 209.79

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Solution

The fourth proportional to 211.95, 294.50 and 209.79 is: 291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.95 : 294.50 = 209.79 : x
  2. Step 2: Convert to fraction form
    211.95/294.50 = 209.79/x
  3. Step 3: Cross multiply
    211.95x = 294.50 × 209.79
  4. Step 4: Simplify right side
    211.95x = 61,783.68
  5. Step 5: Solve for x
    x = 61,783.68/211.95
  6. Step 6: Final answer
    x = 291.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.