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Finding the Fourth Proportional to 405.24, 558.93 and 280.90

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Solution

The fourth proportional to 405.24, 558.93 and 280.90 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 558.93 = 280.90 : x
  2. Step 2: Convert to fraction form
    405.24/558.93 = 280.90/x
  3. Step 3: Cross multiply
    405.24x = 558.93 × 280.90
  4. Step 4: Simplify right side
    405.24x = 157,003.44
  5. Step 5: Solve for x
    x = 157,003.44/405.24
  6. Step 6: Final answer
    x = 387.43

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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.