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Finding the Fourth Proportional to 370.22, 554.72 and 225.68

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Solution

The fourth proportional to 370.22, 554.72 and 225.68 is: 338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.22 : 554.72 = 225.68 : x
  2. Step 2: Convert to fraction form
    370.22/554.72 = 225.68/x
  3. Step 3: Cross multiply
    370.22x = 554.72 × 225.68
  4. Step 4: Simplify right side
    370.22x = 125,189.21
  5. Step 5: Solve for x
    x = 125,189.21/370.22
  6. Step 6: Final answer
    x = 338.15

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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.