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Finding the Fourth Proportional to 145, 217.49 and 84.09

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Solution

The fourth proportional to 145, 217.49 and 84.09 is: 126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 217.49 = 84.09 : x
  2. Step 2: Convert to fraction form
    145/217.49 = 84.09/x
  3. Step 3: Cross multiply
    145x = 217.49 × 84.09
  4. Step 4: Simplify right side
    145x = 18,288.73
  5. Step 5: Solve for x
    x = 18,288.73/145
  6. Step 6: Final answer
    x = 126.13

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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.