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Finding the Fourth Proportional to 147, 202.64 and 108.12

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Solution

The fourth proportional to 147, 202.64 and 108.12 is: 149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 202.64 = 108.12 : x
  2. Step 2: Convert to fraction form
    147/202.64 = 108.12/x
  3. Step 3: Cross multiply
    147x = 202.64 × 108.12
  4. Step 4: Simplify right side
    147x = 21,909.44
  5. Step 5: Solve for x
    x = 21,909.44/147
  6. Step 6: Final answer
    x = 149.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.