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Finding the Fourth Proportional to 202.05, 302.78 and 115.02

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Solution

The fourth proportional to 202.05, 302.78 and 115.02 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.05 : 302.78 = 115.02 : x
  2. Step 2: Convert to fraction form
    202.05/302.78 = 115.02/x
  3. Step 3: Cross multiply
    202.05x = 302.78 × 115.02
  4. Step 4: Simplify right side
    202.05x = 34,826.04
  5. Step 5: Solve for x
    x = 34,826.04/202.05
  6. Step 6: Final answer
    x = 172.36

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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.