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Finding the Fourth Proportional to 200.68, 277.14 and 142.72

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Solution

The fourth proportional to 200.68, 277.14 and 142.72 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 277.14 = 142.72 : x
  2. Step 2: Convert to fraction form
    200.68/277.14 = 142.72/x
  3. Step 3: Cross multiply
    200.68x = 277.14 × 142.72
  4. Step 4: Simplify right side
    200.68x = 39,553.42
  5. Step 5: Solve for x
    x = 39,553.42/200.68
  6. Step 6: Final answer
    x = 197.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.