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Finding the Fourth Proportional to 289.87, 400.05 and 165.50

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Solution

The fourth proportional to 289.87, 400.05 and 165.50 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 400.05 = 165.50 : x
  2. Step 2: Convert to fraction form
    289.87/400.05 = 165.50/x
  3. Step 3: Cross multiply
    289.87x = 400.05 × 165.50
  4. Step 4: Simplify right side
    289.87x = 66,205.65
  5. Step 5: Solve for x
    x = 66,205.65/289.87
  6. Step 6: Final answer
    x = 228.40

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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.