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Finding the Fourth Proportional to 405.22, 558.48 and 280.66

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Solution

The fourth proportional to 405.22, 558.48 and 280.66 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 558.48 = 280.66 : x
  2. Step 2: Convert to fraction form
    405.22/558.48 = 280.66/x
  3. Step 3: Cross multiply
    405.22x = 558.48 × 280.66
  4. Step 4: Simplify right side
    405.22x = 156,743.00
  5. Step 5: Solve for x
    x = 156,743.00/405.22
  6. Step 6: Final answer
    x = 386.81

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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.