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Finding the Fourth Proportional to 239.14, 330.20 and 164.53

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Solution

The fourth proportional to 239.14, 330.20 and 164.53 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.14 : 330.20 = 164.53 : x
  2. Step 2: Convert to fraction form
    239.14/330.20 = 164.53/x
  3. Step 3: Cross multiply
    239.14x = 330.20 × 164.53
  4. Step 4: Simplify right side
    239.14x = 54,327.81
  5. Step 5: Solve for x
    x = 54,327.81/239.14
  6. Step 6: Final answer
    x = 227.18

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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.