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Finding the Fourth Proportional to 147.09, 220.52 and 54.51

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Solution

The fourth proportional to 147.09, 220.52 and 54.51 is: 81.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 220.52 = 54.51 : x
  2. Step 2: Convert to fraction form
    147.09/220.52 = 54.51/x
  3. Step 3: Cross multiply
    147.09x = 220.52 × 54.51
  4. Step 4: Simplify right side
    147.09x = 12,020.55
  5. Step 5: Solve for x
    x = 12,020.55/147.09
  6. Step 6: Final answer
    x = 81.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.