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Finding the Fourth Proportional to 239.07, 329.91 and 145.83

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Solution

The fourth proportional to 239.07, 329.91 and 145.83 is: 201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.07 : 329.91 = 145.83 : x
  2. Step 2: Convert to fraction form
    239.07/329.91 = 145.83/x
  3. Step 3: Cross multiply
    239.07x = 329.91 × 145.83
  4. Step 4: Simplify right side
    239.07x = 48,110.78
  5. Step 5: Solve for x
    x = 48,110.78/239.07
  6. Step 6: Final answer
    x = 201.24

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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.