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Finding the Fourth Proportional to 802.88, 1,204.36 and 225.80

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Solution

The fourth proportional to 802.88, 1,204.36 and 225.80 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,204.36 = 225.80 : x
  2. Step 2: Convert to fraction form
    802.88/1,204.36 = 225.80/x
  3. Step 3: Cross multiply
    802.88x = 1,204.36 × 225.80
  4. Step 4: Simplify right side
    802.88x = 271,944.49
  5. Step 5: Solve for x
    x = 271,944.49/802.88
  6. Step 6: Final answer
    x = 338.71

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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.