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Finding the Fourth Proportional to 238.03, 328.44 and 144.78

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Solution

The fourth proportional to 238.03, 328.44 and 144.78 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.03 : 328.44 = 144.78 : x
  2. Step 2: Convert to fraction form
    238.03/328.44 = 144.78/x
  3. Step 3: Cross multiply
    238.03x = 328.44 × 144.78
  4. Step 4: Simplify right side
    238.03x = 47,550.85
  5. Step 5: Solve for x
    x = 47,550.85/238.03
  6. Step 6: Final answer
    x = 199.77

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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.