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Finding the Fourth Proportional to 202.08, 302.80 and 115.20

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Solution

The fourth proportional to 202.08, 302.80 and 115.20 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 302.80 = 115.20 : x
  2. Step 2: Convert to fraction form
    202.08/302.80 = 115.20/x
  3. Step 3: Cross multiply
    202.08x = 302.80 × 115.20
  4. Step 4: Simplify right side
    202.08x = 34,882.56
  5. Step 5: Solve for x
    x = 34,882.56/202.08
  6. Step 6: Final answer
    x = 172.62

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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.