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Finding the Fourth Proportional to 209.52, 312.84 and 197.28

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Solution

The fourth proportional to 209.52, 312.84 and 197.28 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 312.84 = 197.28 : x
  2. Step 2: Convert to fraction form
    209.52/312.84 = 197.28/x
  3. Step 3: Cross multiply
    209.52x = 312.84 × 197.28
  4. Step 4: Simplify right side
    209.52x = 61,717.08
  5. Step 5: Solve for x
    x = 61,717.08/209.52
  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.