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Finding the Fourth Proportional to 238.89, 328.89 and 186.36

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Solution

The fourth proportional to 238.89, 328.89 and 186.36 is: 256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.89 : 328.89 = 186.36 : x
  2. Step 2: Convert to fraction form
    238.89/328.89 = 186.36/x
  3. Step 3: Cross multiply
    238.89x = 328.89 × 186.36
  4. Step 4: Simplify right side
    238.89x = 61,291.94
  5. Step 5: Solve for x
    x = 61,291.94/238.89
  6. Step 6: Final answer
    x = 256.57

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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.