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Finding the Fourth Proportional to 200.85, 276.89 and 165.93

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Solution

The fourth proportional to 200.85, 276.89 and 165.93 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 276.89 = 165.93 : x
  2. Step 2: Convert to fraction form
    200.85/276.89 = 165.93/x
  3. Step 3: Cross multiply
    200.85x = 276.89 × 165.93
  4. Step 4: Simplify right side
    200.85x = 45,943.53
  5. Step 5: Solve for x
    x = 45,943.53/200.85
  6. Step 6: Final answer
    x = 228.75

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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.