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Finding the Fourth Proportional to 202.08, 302.16 and 165.68

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Solution

The fourth proportional to 202.08, 302.16 and 165.68 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 302.16 = 165.68 : x
  2. Step 2: Convert to fraction form
    202.08/302.16 = 165.68/x
  3. Step 3: Cross multiply
    202.08x = 302.16 × 165.68
  4. Step 4: Simplify right side
    202.08x = 50,061.87
  5. Step 5: Solve for x
    x = 50,061.87/202.08
  6. Step 6: Final answer
    x = 247.73

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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.