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Finding the Fourth Proportional to 199.66, 297.45 and 193.15

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Solution

The fourth proportional to 199.66, 297.45 and 193.15 is: 287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 297.45 = 193.15 : x
  2. Step 2: Convert to fraction form
    199.66/297.45 = 193.15/x
  3. Step 3: Cross multiply
    199.66x = 297.45 × 193.15
  4. Step 4: Simplify right side
    199.66x = 57,452.47
  5. Step 5: Solve for x
    x = 57,452.47/199.66
  6. Step 6: Final answer
    x = 287.75

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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.