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Finding the Fourth Proportional to 211.39, 315.16 and 206.06

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Solution

The fourth proportional to 211.39, 315.16 and 206.06 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.39 : 315.16 = 206.06 : x
  2. Step 2: Convert to fraction form
    211.39/315.16 = 206.06/x
  3. Step 3: Cross multiply
    211.39x = 315.16 × 206.06
  4. Step 4: Simplify right side
    211.39x = 64,939.78
  5. Step 5: Solve for x
    x = 64,939.78/211.39
  6. Step 6: Final answer
    x = 307.21

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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.