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Finding the Fourth Proportional to 144.16, 198.93 and 78.66

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Solution

The fourth proportional to 144.16, 198.93 and 78.66 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 198.93 = 78.66 : x
  2. Step 2: Convert to fraction form
    144.16/198.93 = 78.66/x
  3. Step 3: Cross multiply
    144.16x = 198.93 × 78.66
  4. Step 4: Simplify right side
    144.16x = 15,647.83
  5. Step 5: Solve for x
    x = 15,647.83/144.16
  6. Step 6: Final answer
    x = 108.55

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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.