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Finding the Fourth Proportional to 199.69, 297.57 and 193.16

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Solution

The fourth proportional to 199.69, 297.57 and 193.16 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 297.57 = 193.16 : x
  2. Step 2: Convert to fraction form
    199.69/297.57 = 193.16/x
  3. Step 3: Cross multiply
    199.69x = 297.57 × 193.16
  4. Step 4: Simplify right side
    199.69x = 57,477.66
  5. Step 5: Solve for x
    x = 57,477.66/199.69
  6. Step 6: Final answer
    x = 287.84

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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.