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Finding the Fourth Proportional to 225.12, 310.68 and 137.78

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Solution

The fourth proportional to 225.12, 310.68 and 137.78 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 310.68 = 137.78 : x
  2. Step 2: Convert to fraction form
    225.12/310.68 = 137.78/x
  3. Step 3: Cross multiply
    225.12x = 310.68 × 137.78
  4. Step 4: Simplify right side
    225.12x = 42,805.49
  5. Step 5: Solve for x
    x = 42,805.49/225.12
  6. Step 6: Final answer
    x = 190.15

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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.