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Finding the Fourth Proportional to 144.59, 199.55 and 86.38

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Solution

The fourth proportional to 144.59, 199.55 and 86.38 is: 119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 199.55 = 86.38 : x
  2. Step 2: Convert to fraction form
    144.59/199.55 = 86.38/x
  3. Step 3: Cross multiply
    144.59x = 199.55 × 86.38
  4. Step 4: Simplify right side
    144.59x = 17,237.13
  5. Step 5: Solve for x
    x = 17,237.13/144.59
  6. Step 6: Final answer
    x = 119.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.