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Finding the Fourth Proportional to 239.29, 330.21 and 146.07

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Solution

The fourth proportional to 239.29, 330.21 and 146.07 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.29 : 330.21 = 146.07 : x
  2. Step 2: Convert to fraction form
    239.29/330.21 = 146.07/x
  3. Step 3: Cross multiply
    239.29x = 330.21 × 146.07
  4. Step 4: Simplify right side
    239.29x = 48,233.77
  5. Step 5: Solve for x
    x = 48,233.77/239.29
  6. Step 6: Final answer
    x = 201.57

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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.