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Finding the Fourth Proportional to 405.50, 559.69 and 230.95

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Solution

The fourth proportional to 405.50, 559.69 and 230.95 is: 318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 559.69 = 230.95 : x
  2. Step 2: Convert to fraction form
    405.50/559.69 = 230.95/x
  3. Step 3: Cross multiply
    405.50x = 559.69 × 230.95
  4. Step 4: Simplify right side
    405.50x = 129,257.61
  5. Step 5: Solve for x
    x = 129,257.61/405.50
  6. Step 6: Final answer
    x = 318.76

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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.