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Finding the Fourth Proportional to 147.64, 202.93 and 119.96

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Solution

The fourth proportional to 147.64, 202.93 and 119.96 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 202.93 = 119.96 : x
  2. Step 2: Convert to fraction form
    147.64/202.93 = 119.96/x
  3. Step 3: Cross multiply
    147.64x = 202.93 × 119.96
  4. Step 4: Simplify right side
    147.64x = 24,343.48
  5. Step 5: Solve for x
    x = 24,343.48/147.64
  6. Step 6: Final answer
    x = 164.88

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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.