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Finding the Fourth Proportional to 147.36, 220.74 and 120.03

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Solution

The fourth proportional to 147.36, 220.74 and 120.03 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 220.74 = 120.03 : x
  2. Step 2: Convert to fraction form
    147.36/220.74 = 120.03/x
  3. Step 3: Cross multiply
    147.36x = 220.74 × 120.03
  4. Step 4: Simplify right side
    147.36x = 26,495.42
  5. Step 5: Solve for x
    x = 26,495.42/147.36
  6. Step 6: Final answer
    x = 179.80

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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.