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Finding the Fourth Proportional to 405.76, 559.90 and 231.11

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Solution

The fourth proportional to 405.76, 559.90 and 231.11 is: 318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 559.90 = 231.11 : x
  2. Step 2: Convert to fraction form
    405.76/559.90 = 231.11/x
  3. Step 3: Cross multiply
    405.76x = 559.90 × 231.11
  4. Step 4: Simplify right side
    405.76x = 129,398.49
  5. Step 5: Solve for x
    x = 129,398.49/405.76
  6. Step 6: Final answer
    x = 318.90

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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.