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Finding the Fourth Proportional to 238.14, 356.81 and 183.87

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Solution

The fourth proportional to 238.14, 356.81 and 183.87 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 356.81 = 183.87 : x
  2. Step 2: Convert to fraction form
    238.14/356.81 = 183.87/x
  3. Step 3: Cross multiply
    238.14x = 356.81 × 183.87
  4. Step 4: Simplify right side
    238.14x = 65,605.74
  5. Step 5: Solve for x
    x = 65,605.74/238.14
  6. Step 6: Final answer
    x = 275.49

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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.