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Finding the Fourth Proportional to 609.90, 914.88 and 225.14

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Solution

The fourth proportional to 609.90, 914.88 and 225.14 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.90 : 914.88 = 225.14 : x
  2. Step 2: Convert to fraction form
    609.90/914.88 = 225.14/x
  3. Step 3: Cross multiply
    609.90x = 914.88 × 225.14
  4. Step 4: Simplify right side
    609.90x = 205,976.08
  5. Step 5: Solve for x
    x = 205,976.08/609.90
  6. Step 6: Final answer
    x = 337.72

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