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Finding the Fourth Proportional to 413.31, 570.35 and 236.28

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Solution

The fourth proportional to 413.31, 570.35 and 236.28 is: 326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.35 = 236.28 : x
  2. Step 2: Convert to fraction form
    413.31/570.35 = 236.28/x
  3. Step 3: Cross multiply
    413.31x = 570.35 × 236.28
  4. Step 4: Simplify right side
    413.31x = 134,759.45
  5. Step 5: Solve for x
    x = 134,759.45/413.31
  6. Step 6: Final answer
    x = 326.05

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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.