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Finding the Fourth Proportional to 418.20, 577.10 and 231.69

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Solution

The fourth proportional to 418.20, 577.10 and 231.69 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 577.10 = 231.69 : x
  2. Step 2: Convert to fraction form
    418.20/577.10 = 231.69/x
  3. Step 3: Cross multiply
    418.20x = 577.10 × 231.69
  4. Step 4: Simplify right side
    418.20x = 133,707.14
  5. Step 5: Solve for x
    x = 133,707.14/418.20
  6. Step 6: Final answer
    x = 319.72

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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.