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Finding the Fourth Proportional to 366.26, 505.31 and 248.47

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Solution

The fourth proportional to 366.26, 505.31 and 248.47 is: 342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.26 : 505.31 = 248.47 : x
  2. Step 2: Convert to fraction form
    366.26/505.31 = 248.47/x
  3. Step 3: Cross multiply
    366.26x = 505.31 × 248.47
  4. Step 4: Simplify right side
    366.26x = 125,551.87
  5. Step 5: Solve for x
    x = 125,551.87/366.26
  6. Step 6: Final answer
    x = 342.80

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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.