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Finding the Fourth Proportional to 202.29, 278.67 and 165.66

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Solution

The fourth proportional to 202.29, 278.67 and 165.66 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.29 : 278.67 = 165.66 : x
  2. Step 2: Convert to fraction form
    202.29/278.67 = 165.66/x
  3. Step 3: Cross multiply
    202.29x = 278.67 × 165.66
  4. Step 4: Simplify right side
    202.29x = 46,164.47
  5. Step 5: Solve for x
    x = 46,164.47/202.29
  6. Step 6: Final answer
    x = 228.21

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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.