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Finding the Fourth Proportional to 200.52, 299.07 and 193.32

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Solution

The fourth proportional to 200.52, 299.07 and 193.32 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 299.07 = 193.32 : x
  2. Step 2: Convert to fraction form
    200.52/299.07 = 193.32/x
  3. Step 3: Cross multiply
    200.52x = 299.07 × 193.32
  4. Step 4: Simplify right side
    200.52x = 57,816.21
  5. Step 5: Solve for x
    x = 57,816.21/200.52
  6. Step 6: Final answer
    x = 288.33

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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.