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Finding the Fourth Proportional to 147.66, 202.90 and 119.96

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Solution

The fourth proportional to 147.66, 202.90 and 119.96 is: 164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 202.90 = 119.96 : x
  2. Step 2: Convert to fraction form
    147.66/202.90 = 119.96/x
  3. Step 3: Cross multiply
    147.66x = 202.90 × 119.96
  4. Step 4: Simplify right side
    147.66x = 24,339.88
  5. Step 5: Solve for x
    x = 24,339.88/147.66
  6. Step 6: Final answer
    x = 164.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.