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Finding the Fourth Proportional to 147.68, 221.28 and 120.64

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Solution

The fourth proportional to 147.68, 221.28 and 120.64 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.68 : 221.28 = 120.64 : x
  2. Step 2: Convert to fraction form
    147.68/221.28 = 120.64/x
  3. Step 3: Cross multiply
    147.68x = 221.28 × 120.64
  4. Step 4: Simplify right side
    147.68x = 26,695.22
  5. Step 5: Solve for x
    x = 26,695.22/147.68
  6. Step 6: Final answer
    x = 180.76

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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.