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Finding the Fourth Proportional to 284.97, 427.62 and 122.67

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Solution

The fourth proportional to 284.97, 427.62 and 122.67 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 427.62 = 122.67 : x
  2. Step 2: Convert to fraction form
    284.97/427.62 = 122.67/x
  3. Step 3: Cross multiply
    284.97x = 427.62 × 122.67
  4. Step 4: Simplify right side
    284.97x = 52,456.15
  5. Step 5: Solve for x
    x = 52,456.15/284.97
  6. Step 6: Final answer
    x = 184.08

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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.