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Finding the Fourth Proportional to 200.08, 298.39 and 180.64

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Solution

The fourth proportional to 200.08, 298.39 and 180.64 is: 269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 298.39 = 180.64 : x
  2. Step 2: Convert to fraction form
    200.08/298.39 = 180.64/x
  3. Step 3: Cross multiply
    200.08x = 298.39 × 180.64
  4. Step 4: Simplify right side
    200.08x = 53,898.77
  5. Step 5: Solve for x
    x = 53,898.77/200.08
  6. Step 6: Final answer
    x = 269.39

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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.