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Finding the Fourth Proportional to 239.40, 330.53 and 146.21

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Solution

The fourth proportional to 239.40, 330.53 and 146.21 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 330.53 = 146.21 : x
  2. Step 2: Convert to fraction form
    239.40/330.53 = 146.21/x
  3. Step 3: Cross multiply
    239.40x = 330.53 × 146.21
  4. Step 4: Simplify right side
    239.40x = 48,324.41
  5. Step 5: Solve for x
    x = 48,324.41/239.40
  6. Step 6: Final answer
    x = 201.86

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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.