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Finding the Fourth Proportional to 380.25, 524.26 and 247.24

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Solution

The fourth proportional to 380.25, 524.26 and 247.24 is: 340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 524.26 = 247.24 : x
  2. Step 2: Convert to fraction form
    380.25/524.26 = 247.24/x
  3. Step 3: Cross multiply
    380.25x = 524.26 × 247.24
  4. Step 4: Simplify right side
    380.25x = 129,618.04
  5. Step 5: Solve for x
    x = 129,618.04/380.25
  6. Step 6: Final answer
    x = 340.88

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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.