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Finding the Fourth Proportional to 200.19, 298.30 and 178.36

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Solution

The fourth proportional to 200.19, 298.30 and 178.36 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 298.30 = 178.36 : x
  2. Step 2: Convert to fraction form
    200.19/298.30 = 178.36/x
  3. Step 3: Cross multiply
    200.19x = 298.30 × 178.36
  4. Step 4: Simplify right side
    200.19x = 53,204.70
  5. Step 5: Solve for x
    x = 53,204.70/200.19
  6. Step 6: Final answer
    x = 265.77

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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.