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Finding the Fourth Proportional to 237.69, 328.14 and 164.13

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Solution

The fourth proportional to 237.69, 328.14 and 164.13 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.69 : 328.14 = 164.13 : x
  2. Step 2: Convert to fraction form
    237.69/328.14 = 164.13/x
  3. Step 3: Cross multiply
    237.69x = 328.14 × 164.13
  4. Step 4: Simplify right side
    237.69x = 53,857.62
  5. Step 5: Solve for x
    x = 53,857.62/237.69
  6. Step 6: Final answer
    x = 226.59

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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.