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Finding the Fourth Proportional to 416.12, 574.30 and 248.16

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Solution

The fourth proportional to 416.12, 574.30 and 248.16 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 574.30 = 248.16 : x
  2. Step 2: Convert to fraction form
    416.12/574.30 = 248.16/x
  3. Step 3: Cross multiply
    416.12x = 574.30 × 248.16
  4. Step 4: Simplify right side
    416.12x = 142,518.29
  5. Step 5: Solve for x
    x = 142,518.29/416.12
  6. Step 6: Final answer
    x = 342.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.