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Finding the Fourth Proportional to 147.94, 220.61 and 144.44

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Solution

The fourth proportional to 147.94, 220.61 and 144.44 is: 215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 220.61 = 144.44 : x
  2. Step 2: Convert to fraction form
    147.94/220.61 = 144.44/x
  3. Step 3: Cross multiply
    147.94x = 220.61 × 144.44
  4. Step 4: Simplify right side
    147.94x = 31,865.28
  5. Step 5: Solve for x
    x = 31,865.28/147.94
  6. Step 6: Final answer
    x = 215.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.