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Finding the Fourth Proportional to 200.02, 298.42 and 178.09

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Solution

The fourth proportional to 200.02, 298.42 and 178.09 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 298.42 = 178.09 : x
  2. Step 2: Convert to fraction form
    200.02/298.42 = 178.09/x
  3. Step 3: Cross multiply
    200.02x = 298.42 × 178.09
  4. Step 4: Simplify right side
    200.02x = 53,145.62
  5. Step 5: Solve for x
    x = 53,145.62/200.02
  6. Step 6: Final answer
    x = 265.70

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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.