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Finding the Fourth Proportional to 200.67, 301.47 and 192.47

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Solution

The fourth proportional to 200.67, 301.47 and 192.47 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 301.47 = 192.47 : x
  2. Step 2: Convert to fraction form
    200.67/301.47 = 192.47/x
  3. Step 3: Cross multiply
    200.67x = 301.47 × 192.47
  4. Step 4: Simplify right side
    200.67x = 58,024.68
  5. Step 5: Solve for x
    x = 58,024.68/200.67
  6. Step 6: Final answer
    x = 289.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.