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Finding the Fourth Proportional to 211.31, 315.60 and 199.46

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Solution

The fourth proportional to 211.31, 315.60 and 199.46 is: 297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.31 : 315.60 = 199.46 : x
  2. Step 2: Convert to fraction form
    211.31/315.60 = 199.46/x
  3. Step 3: Cross multiply
    211.31x = 315.60 × 199.46
  4. Step 4: Simplify right side
    211.31x = 62,948.00
  5. Step 5: Solve for x
    x = 62,948.00/211.31
  6. Step 6: Final answer
    x = 297.90

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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.