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Finding the Fourth Proportional to 147.26, 220.69 and 78.64

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Solution

The fourth proportional to 147.26, 220.69 and 78.64 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.26 : 220.69 = 78.64 : x
  2. Step 2: Convert to fraction form
    147.26/220.69 = 78.64/x
  3. Step 3: Cross multiply
    147.26x = 220.69 × 78.64
  4. Step 4: Simplify right side
    147.26x = 17,355.06
  5. Step 5: Solve for x
    x = 17,355.06/147.26
  6. Step 6: Final answer
    x = 117.85

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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.