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Finding the Fourth Proportional to 199.47, 297.03 and 197.04

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Solution

The fourth proportional to 199.47, 297.03 and 197.04 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.47 : 297.03 = 197.04 : x
  2. Step 2: Convert to fraction form
    199.47/297.03 = 197.04/x
  3. Step 3: Cross multiply
    199.47x = 297.03 × 197.04
  4. Step 4: Simplify right side
    199.47x = 58,526.79
  5. Step 5: Solve for x
    x = 58,526.79/199.47
  6. Step 6: Final answer
    x = 293.41

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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.