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Finding the Fourth Proportional to 202.12, 302.94 and 80.32

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Solution

The fourth proportional to 202.12, 302.94 and 80.32 is: 120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 302.94 = 80.32 : x
  2. Step 2: Convert to fraction form
    202.12/302.94 = 80.32/x
  3. Step 3: Cross multiply
    202.12x = 302.94 × 80.32
  4. Step 4: Simplify right side
    202.12x = 24,332.14
  5. Step 5: Solve for x
    x = 24,332.14/202.12
  6. Step 6: Final answer
    x = 120.38

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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.