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Finding the Fourth Proportional to 147.27, 220.98 and 51.09

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Solution

The fourth proportional to 147.27, 220.98 and 51.09 is: 76.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 220.98 = 51.09 : x
  2. Step 2: Convert to fraction form
    147.27/220.98 = 51.09/x
  3. Step 3: Cross multiply
    147.27x = 220.98 × 51.09
  4. Step 4: Simplify right side
    147.27x = 11,289.87
  5. Step 5: Solve for x
    x = 11,289.87/147.27
  6. Step 6: Final answer
    x = 76.66

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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.