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Finding the Fourth Proportional to 211.69, 315.93 and 206.22

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Solution

The fourth proportional to 211.69, 315.93 and 206.22 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 315.93 = 206.22 : x
  2. Step 2: Convert to fraction form
    211.69/315.93 = 206.22/x
  3. Step 3: Cross multiply
    211.69x = 315.93 × 206.22
  4. Step 4: Simplify right side
    211.69x = 65,151.08
  5. Step 5: Solve for x
    x = 65,151.08/211.69
  6. Step 6: Final answer
    x = 307.77

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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.