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Finding the Fourth Proportional to 238.96, 328.42 and 211.16

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Solution

The fourth proportional to 238.96, 328.42 and 211.16 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 328.42 = 211.16 : x
  2. Step 2: Convert to fraction form
    238.96/328.42 = 211.16/x
  3. Step 3: Cross multiply
    238.96x = 328.42 × 211.16
  4. Step 4: Simplify right side
    238.96x = 69,349.17
  5. Step 5: Solve for x
    x = 69,349.17/238.96
  6. Step 6: Final answer
    x = 290.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.