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Finding the Fourth Proportional to 427.74, 639.98 and 245.22

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Solution

The fourth proportional to 427.74, 639.98 and 245.22 is: 366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 639.98 = 245.22 : x
  2. Step 2: Convert to fraction form
    427.74/639.98 = 245.22/x
  3. Step 3: Cross multiply
    427.74x = 639.98 × 245.22
  4. Step 4: Simplify right side
    427.74x = 156,935.90
  5. Step 5: Solve for x
    x = 156,935.90/427.74
  6. Step 6: Final answer
    x = 366.90

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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.