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Finding the Fourth Proportional to 144.65, 199.65 and 85.66

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Solution

The fourth proportional to 144.65, 199.65 and 85.66 is: 118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.65 : 199.65 = 85.66 : x
  2. Step 2: Convert to fraction form
    144.65/199.65 = 85.66/x
  3. Step 3: Cross multiply
    144.65x = 199.65 × 85.66
  4. Step 4: Simplify right side
    144.65x = 17,102.98
  5. Step 5: Solve for x
    x = 17,102.98/144.65
  6. Step 6: Final answer
    x = 118.24

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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.