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Finding the Fourth Proportional to 231.87, 320.09 and 144.66

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Solution

The fourth proportional to 231.87, 320.09 and 144.66 is: 199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.87 : 320.09 = 144.66 : x
  2. Step 2: Convert to fraction form
    231.87/320.09 = 144.66/x
  3. Step 3: Cross multiply
    231.87x = 320.09 × 144.66
  4. Step 4: Simplify right side
    231.87x = 46,303.50
  5. Step 5: Solve for x
    x = 46,303.50/231.87
  6. Step 6: Final answer
    x = 199.70

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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.