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Finding the Fourth Proportional to 211.23, 315.57 and 207.39

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Solution

The fourth proportional to 211.23, 315.57 and 207.39 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.23 : 315.57 = 207.39 : x
  2. Step 2: Convert to fraction form
    211.23/315.57 = 207.39/x
  3. Step 3: Cross multiply
    211.23x = 315.57 × 207.39
  4. Step 4: Simplify right side
    211.23x = 65,446.06
  5. Step 5: Solve for x
    x = 65,446.06/211.23
  6. Step 6: Final answer
    x = 309.83

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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.