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Finding the Fourth Proportional to 144.60, 199.53 and 84.78

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Solution

The fourth proportional to 144.60, 199.53 and 84.78 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.60 : 199.53 = 84.78 : x
  2. Step 2: Convert to fraction form
    144.60/199.53 = 84.78/x
  3. Step 3: Cross multiply
    144.60x = 199.53 × 84.78
  4. Step 4: Simplify right side
    144.60x = 16,916.15
  5. Step 5: Solve for x
    x = 16,916.15/144.60
  6. Step 6: Final answer
    x = 116.99

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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.