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Finding the Fourth Proportional to 413.31, 570.42 and 238.71

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Solution

The fourth proportional to 413.31, 570.42 and 238.71 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.42 = 238.71 : x
  2. Step 2: Convert to fraction form
    413.31/570.42 = 238.71/x
  3. Step 3: Cross multiply
    413.31x = 570.42 × 238.71
  4. Step 4: Simplify right side
    413.31x = 136,164.96
  5. Step 5: Solve for x
    x = 136,164.96/413.31
  6. Step 6: Final answer
    x = 329.45

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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.