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Finding the Fourth Proportional to 200.04, 297.65 and 189.11

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Solution

The fourth proportional to 200.04, 297.65 and 189.11 is: 281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 297.65 = 189.11 : x
  2. Step 2: Convert to fraction form
    200.04/297.65 = 189.11/x
  3. Step 3: Cross multiply
    200.04x = 297.65 × 189.11
  4. Step 4: Simplify right side
    200.04x = 56,288.44
  5. Step 5: Solve for x
    x = 56,288.44/200.04
  6. Step 6: Final answer
    x = 281.38

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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.