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Finding the Fourth Proportional to 238.13, 355.74 and 155.19

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Solution

The fourth proportional to 238.13, 355.74 and 155.19 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 355.74 = 155.19 : x
  2. Step 2: Convert to fraction form
    238.13/355.74 = 155.19/x
  3. Step 3: Cross multiply
    238.13x = 355.74 × 155.19
  4. Step 4: Simplify right side
    238.13x = 55,204.74
  5. Step 5: Solve for x
    x = 55,204.74/238.13
  6. Step 6: Final answer
    x = 231.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.