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Finding the Fourth Proportional to 238.66, 357.99 and 153.22

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Solution

The fourth proportional to 238.66, 357.99 and 153.22 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.66 : 357.99 = 153.22 : x
  2. Step 2: Convert to fraction form
    238.66/357.99 = 153.22/x
  3. Step 3: Cross multiply
    238.66x = 357.99 × 153.22
  4. Step 4: Simplify right side
    238.66x = 54,851.23
  5. Step 5: Solve for x
    x = 54,851.23/238.66
  6. Step 6: Final answer
    x = 229.83

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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.