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Finding the Fourth Proportional to 202.16, 302.79 and 120.80

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Solution

The fourth proportional to 202.16, 302.79 and 120.80 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 302.79 = 120.80 : x
  2. Step 2: Convert to fraction form
    202.16/302.79 = 120.80/x
  3. Step 3: Cross multiply
    202.16x = 302.79 × 120.80
  4. Step 4: Simplify right side
    202.16x = 36,577.03
  5. Step 5: Solve for x
    x = 36,577.03/202.16
  6. Step 6: Final answer
    x = 180.93

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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.