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Finding the Fourth Proportional to 211.92, 315.35 and 211.20

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Solution

The fourth proportional to 211.92, 315.35 and 211.20 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 315.35 = 211.20 : x
  2. Step 2: Convert to fraction form
    211.92/315.35 = 211.20/x
  3. Step 3: Cross multiply
    211.92x = 315.35 × 211.20
  4. Step 4: Simplify right side
    211.92x = 66,600.86
  5. Step 5: Solve for x
    x = 66,600.86/211.92
  6. Step 6: Final answer
    x = 314.27

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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.