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Finding the Fourth Proportional to 147.25, 221.74 and 109.00

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Solution

The fourth proportional to 147.25, 221.74 and 109.00 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 221.74 = 109.00 : x
  2. Step 2: Convert to fraction form
    147.25/221.74 = 109.00/x
  3. Step 3: Cross multiply
    147.25x = 221.74 × 109.00
  4. Step 4: Simplify right side
    147.25x = 24,170.17
  5. Step 5: Solve for x
    x = 24,170.17/147.25
  6. Step 6: Final answer
    x = 164.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.