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Finding the Fourth Proportional to 238.10, 328.57 and 133.19

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Solution

The fourth proportional to 238.10, 328.57 and 133.19 is: 183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.10 : 328.57 = 133.19 : x
  2. Step 2: Convert to fraction form
    238.10/328.57 = 133.19/x
  3. Step 3: Cross multiply
    238.10x = 328.57 × 133.19
  4. Step 4: Simplify right side
    238.10x = 43,761.49
  5. Step 5: Solve for x
    x = 43,761.49/238.10
  6. Step 6: Final answer
    x = 183.79

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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.