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Finding the Fourth Proportional to 238.78, 329.52 and 156.03

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Solution

The fourth proportional to 238.78, 329.52 and 156.03 is: 215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 329.52 = 156.03 : x
  2. Step 2: Convert to fraction form
    238.78/329.52 = 156.03/x
  3. Step 3: Cross multiply
    238.78x = 329.52 × 156.03
  4. Step 4: Simplify right side
    238.78x = 51,413.48
  5. Step 5: Solve for x
    x = 51,413.48/238.78
  6. Step 6: Final answer
    x = 215.32

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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.