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Finding the Fourth Proportional to 289.99, 400.20 and 165.65

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Solution

The fourth proportional to 289.99, 400.20 and 165.65 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 400.20 = 165.65 : x
  2. Step 2: Convert to fraction form
    289.99/400.20 = 165.65/x
  3. Step 3: Cross multiply
    289.99x = 400.20 × 165.65
  4. Step 4: Simplify right side
    289.99x = 66,290.51
  5. Step 5: Solve for x
    x = 66,290.51/289.99
  6. Step 6: Final answer
    x = 228.59

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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.