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Finding the Fourth Proportional to 211.28, 314.90 and 199.52

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Solution

The fourth proportional to 211.28, 314.90 and 199.52 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.28 : 314.90 = 199.52 : x
  2. Step 2: Convert to fraction form
    211.28/314.90 = 199.52/x
  3. Step 3: Cross multiply
    211.28x = 314.90 × 199.52
  4. Step 4: Simplify right side
    211.28x = 62,828.85
  5. Step 5: Solve for x
    x = 62,828.85/211.28
  6. Step 6: Final answer
    x = 297.37

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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.