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Finding the Fourth Proportional to 200.20, 302.07 and 193.39

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Solution

The fourth proportional to 200.20, 302.07 and 193.39 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 302.07 = 193.39 : x
  2. Step 2: Convert to fraction form
    200.20/302.07 = 193.39/x
  3. Step 3: Cross multiply
    200.20x = 302.07 × 193.39
  4. Step 4: Simplify right side
    200.20x = 58,417.32
  5. Step 5: Solve for x
    x = 58,417.32/200.20
  6. Step 6: Final answer
    x = 291.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.