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Finding the Fourth Proportional to 253.24, 379.80 and 137.68

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Solution

The fourth proportional to 253.24, 379.80 and 137.68 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 379.80 = 137.68 : x
  2. Step 2: Convert to fraction form
    253.24/379.80 = 137.68/x
  3. Step 3: Cross multiply
    253.24x = 379.80 × 137.68
  4. Step 4: Simplify right side
    253.24x = 52,290.86
  5. Step 5: Solve for x
    x = 52,290.86/253.24
  6. Step 6: Final answer
    x = 206.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.