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Finding the Fourth Proportional to 211.01, 315.04 and 209.49

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Solution

The fourth proportional to 211.01, 315.04 and 209.49 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.01 : 315.04 = 209.49 : x
  2. Step 2: Convert to fraction form
    211.01/315.04 = 209.49/x
  3. Step 3: Cross multiply
    211.01x = 315.04 × 209.49
  4. Step 4: Simplify right side
    211.01x = 65,996.42
  5. Step 5: Solve for x
    x = 65,996.42/211.01
  6. Step 6: Final answer
    x = 312.77

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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.