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Finding the Fourth Proportional to 144.05, 198.77 and 88.74

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Solution

The fourth proportional to 144.05, 198.77 and 88.74 is: 122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 198.77 = 88.74 : x
  2. Step 2: Convert to fraction form
    144.05/198.77 = 88.74/x
  3. Step 3: Cross multiply
    144.05x = 198.77 × 88.74
  4. Step 4: Simplify right side
    144.05x = 17,638.41
  5. Step 5: Solve for x
    x = 17,638.41/144.05
  6. Step 6: Final answer
    x = 122.45

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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.