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Finding the Fourth Proportional to 238.47, 328.88 and 164.90

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Solution

The fourth proportional to 238.47, 328.88 and 164.90 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.47 : 328.88 = 164.90 : x
  2. Step 2: Convert to fraction form
    238.47/328.88 = 164.90/x
  3. Step 3: Cross multiply
    238.47x = 328.88 × 164.90
  4. Step 4: Simplify right side
    238.47x = 54,229.84
  5. Step 5: Solve for x
    x = 54,229.84/238.47
  6. Step 6: Final answer
    x = 227.41

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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.