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Finding the Fourth Proportional to 214.54, 321.82 and 92.77

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Solution

The fourth proportional to 214.54, 321.82 and 92.77 is: 139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.54 : 321.82 = 92.77 : x
  2. Step 2: Convert to fraction form
    214.54/321.82 = 92.77/x
  3. Step 3: Cross multiply
    214.54x = 321.82 × 92.77
  4. Step 4: Simplify right side
    214.54x = 29,855.24
  5. Step 5: Solve for x
    x = 29,855.24/214.54
  6. Step 6: Final answer
    x = 139.16

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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.