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Finding the Fourth Proportional to 144.50, 199.40 and 78.99

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Solution

The fourth proportional to 144.50, 199.40 and 78.99 is: 109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 199.40 = 78.99 : x
  2. Step 2: Convert to fraction form
    144.50/199.40 = 78.99/x
  3. Step 3: Cross multiply
    144.50x = 199.40 × 78.99
  4. Step 4: Simplify right side
    144.50x = 15,751.25
  5. Step 5: Solve for x
    x = 15,751.25/144.50
  6. Step 6: Final answer
    x = 109.00

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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.