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Finding the Fourth Proportional to 417.95, 626.96 and 222.88

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Solution

The fourth proportional to 417.95, 626.96 and 222.88 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.95 : 626.96 = 222.88 : x
  2. Step 2: Convert to fraction form
    417.95/626.96 = 222.88/x
  3. Step 3: Cross multiply
    417.95x = 626.96 × 222.88
  4. Step 4: Simplify right side
    417.95x = 139,736.84
  5. Step 5: Solve for x
    x = 139,736.84/417.95
  6. Step 6: Final answer
    x = 334.34

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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.