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Finding the Fourth Proportional to 235.64, 351.97 and 199.19

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Solution

The fourth proportional to 235.64, 351.97 and 199.19 is: 297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 351.97 = 199.19 : x
  2. Step 2: Convert to fraction form
    235.64/351.97 = 199.19/x
  3. Step 3: Cross multiply
    235.64x = 351.97 × 199.19
  4. Step 4: Simplify right side
    235.64x = 70,108.90
  5. Step 5: Solve for x
    x = 70,108.90/235.64
  6. Step 6: Final answer
    x = 297.53

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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.