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Finding the Fourth Proportional to 418.12, 577.01 and 231.62

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Solution

The fourth proportional to 418.12, 577.01 and 231.62 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 577.01 = 231.62 : x
  2. Step 2: Convert to fraction form
    418.12/577.01 = 231.62/x
  3. Step 3: Cross multiply
    418.12x = 577.01 × 231.62
  4. Step 4: Simplify right side
    418.12x = 133,647.34
  5. Step 5: Solve for x
    x = 133,647.34/418.12
  6. Step 6: Final answer
    x = 319.64

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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.