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Finding the Fourth Proportional to 202.04, 278.61 and 165.08

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Solution

The fourth proportional to 202.04, 278.61 and 165.08 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 278.61 = 165.08 : x
  2. Step 2: Convert to fraction form
    202.04/278.61 = 165.08/x
  3. Step 3: Cross multiply
    202.04x = 278.61 × 165.08
  4. Step 4: Simplify right side
    202.04x = 45,992.94
  5. Step 5: Solve for x
    x = 45,992.94/202.04
  6. Step 6: Final answer
    x = 227.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.