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Finding the Fourth Proportional to 238.29, 356.05 and 186.81

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Solution

The fourth proportional to 238.29, 356.05 and 186.81 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.29 : 356.05 = 186.81 : x
  2. Step 2: Convert to fraction form
    238.29/356.05 = 186.81/x
  3. Step 3: Cross multiply
    238.29x = 356.05 × 186.81
  4. Step 4: Simplify right side
    238.29x = 66,513.70
  5. Step 5: Solve for x
    x = 66,513.70/238.29
  6. Step 6: Final answer
    x = 279.13

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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.