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Finding the Fourth Proportional to 413.47, 570.61 and 238.78

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Solution

The fourth proportional to 413.47, 570.61 and 238.78 is: 329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 570.61 = 238.78 : x
  2. Step 2: Convert to fraction form
    413.47/570.61 = 238.78/x
  3. Step 3: Cross multiply
    413.47x = 570.61 × 238.78
  4. Step 4: Simplify right side
    413.47x = 136,251.27
  5. Step 5: Solve for x
    x = 136,251.27/413.47
  6. Step 6: Final answer
    x = 329.53

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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.