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Finding the Fourth Proportional to 248.23, 370.47 and 227.57

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Solution

The fourth proportional to 248.23, 370.47 and 227.57 is: 339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.23 : 370.47 = 227.57 : x
  2. Step 2: Convert to fraction form
    248.23/370.47 = 227.57/x
  3. Step 3: Cross multiply
    248.23x = 370.47 × 227.57
  4. Step 4: Simplify right side
    248.23x = 84,306.72
  5. Step 5: Solve for x
    x = 84,306.72/248.23
  6. Step 6: Final answer
    x = 339.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.