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Finding the Fourth Proportional to 211.40, 315.33 and 205.92

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Solution

The fourth proportional to 211.40, 315.33 and 205.92 is: 307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.40 : 315.33 = 205.92 : x
  2. Step 2: Convert to fraction form
    211.40/315.33 = 205.92/x
  3. Step 3: Cross multiply
    211.40x = 315.33 × 205.92
  4. Step 4: Simplify right side
    211.40x = 64,932.75
  5. Step 5: Solve for x
    x = 64,932.75/211.40
  6. Step 6: Final answer
    x = 307.16

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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.