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Finding the Fourth Proportional to 200.75, 299.06 and 193.40

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Solution

The fourth proportional to 200.75, 299.06 and 193.40 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 299.06 = 193.40 : x
  2. Step 2: Convert to fraction form
    200.75/299.06 = 193.40/x
  3. Step 3: Cross multiply
    200.75x = 299.06 × 193.40
  4. Step 4: Simplify right side
    200.75x = 57,835.74
  5. Step 5: Solve for x
    x = 57,835.74/200.75
  6. Step 6: Final answer
    x = 288.11

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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.