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Finding the Fourth Proportional to 200.17, 299.96 and 78.29

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Solution

The fourth proportional to 200.17, 299.96 and 78.29 is: 117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.17 : 299.96 = 78.29 : x
  2. Step 2: Convert to fraction form
    200.17/299.96 = 78.29/x
  3. Step 3: Cross multiply
    200.17x = 299.96 × 78.29
  4. Step 4: Simplify right side
    200.17x = 23,483.87
  5. Step 5: Solve for x
    x = 23,483.87/200.17
  6. Step 6: Final answer
    x = 117.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.