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Finding the Fourth Proportional to 405.92, 558.87 and 343.61

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Solution

The fourth proportional to 405.92, 558.87 and 343.61 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 558.87 = 343.61 : x
  2. Step 2: Convert to fraction form
    405.92/558.87 = 343.61/x
  3. Step 3: Cross multiply
    405.92x = 558.87 × 343.61
  4. Step 4: Simplify right side
    405.92x = 192,033.32
  5. Step 5: Solve for x
    x = 192,033.32/405.92
  6. Step 6: Final answer
    x = 473.09

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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.