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Finding the Fourth Proportional to 253.58, 350.74 and 224.48

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Solution

The fourth proportional to 253.58, 350.74 and 224.48 is: 310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.58 : 350.74 = 224.48 : x
  2. Step 2: Convert to fraction form
    253.58/350.74 = 224.48/x
  3. Step 3: Cross multiply
    253.58x = 350.74 × 224.48
  4. Step 4: Simplify right side
    253.58x = 78,734.12
  5. Step 5: Solve for x
    x = 78,734.12/253.58
  6. Step 6: Final answer
    x = 310.49

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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.