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Finding the Fourth Proportional to 199.29, 297.15 and 199.02

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Solution

The fourth proportional to 199.29, 297.15 and 199.02 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 297.15 = 199.02 : x
  2. Step 2: Convert to fraction form
    199.29/297.15 = 199.02/x
  3. Step 3: Cross multiply
    199.29x = 297.15 × 199.02
  4. Step 4: Simplify right side
    199.29x = 59,138.79
  5. Step 5: Solve for x
    x = 59,138.79/199.29
  6. Step 6: Final answer
    x = 296.75

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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.