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Finding the Fourth Proportional to 199.53, 301.13 and 199.53

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Solution

The fourth proportional to 199.53, 301.13 and 199.53 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 301.13 = 199.53 : x
  2. Step 2: Convert to fraction form
    199.53/301.13 = 199.53/x
  3. Step 3: Cross multiply
    199.53x = 301.13 × 199.53
  4. Step 4: Simplify right side
    199.53x = 60,083.47
  5. Step 5: Solve for x
    x = 60,083.47/199.53
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.