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Finding the Fourth Proportional to 147.42, 204.26 and 144.18

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Solution

The fourth proportional to 147.42, 204.26 and 144.18 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 204.26 = 144.18 : x
  2. Step 2: Convert to fraction form
    147.42/204.26 = 144.18/x
  3. Step 3: Cross multiply
    147.42x = 204.26 × 144.18
  4. Step 4: Simplify right side
    147.42x = 29,449.49
  5. Step 5: Solve for x
    x = 29,449.49/147.42
  6. Step 6: Final answer
    x = 199.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.