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Finding the Fourth Proportional to 238.33, 356.88 and 147.21

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Solution

The fourth proportional to 238.33, 356.88 and 147.21 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.33 : 356.88 = 147.21 : x
  2. Step 2: Convert to fraction form
    238.33/356.88 = 147.21/x
  3. Step 3: Cross multiply
    238.33x = 356.88 × 147.21
  4. Step 4: Simplify right side
    238.33x = 52,536.30
  5. Step 5: Solve for x
    x = 52,536.30/238.33
  6. Step 6: Final answer
    x = 220.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.