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Finding the Fourth Proportional to 211.48, 315.71 and 197.31

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Solution

The fourth proportional to 211.48, 315.71 and 197.31 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.48 : 315.71 = 197.31 : x
  2. Step 2: Convert to fraction form
    211.48/315.71 = 197.31/x
  3. Step 3: Cross multiply
    211.48x = 315.71 × 197.31
  4. Step 4: Simplify right side
    211.48x = 62,292.74
  5. Step 5: Solve for x
    x = 62,292.74/211.48
  6. Step 6: Final answer
    x = 294.56

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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.