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Finding the Fourth Proportional to 238.33, 356.69 and 147.09

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Solution

The fourth proportional to 238.33, 356.69 and 147.09 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.33 : 356.69 = 147.09 : x
  2. Step 2: Convert to fraction form
    238.33/356.69 = 147.09/x
  3. Step 3: Cross multiply
    238.33x = 356.69 × 147.09
  4. Step 4: Simplify right side
    238.33x = 52,465.53
  5. Step 5: Solve for x
    x = 52,465.53/238.33
  6. Step 6: Final answer
    x = 220.14

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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.