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Finding the Fourth Proportional to 405.32, 559.26 and 280.94

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Solution

The fourth proportional to 405.32, 559.26 and 280.94 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 559.26 = 280.94 : x
  2. Step 2: Convert to fraction form
    405.32/559.26 = 280.94/x
  3. Step 3: Cross multiply
    405.32x = 559.26 × 280.94
  4. Step 4: Simplify right side
    405.32x = 157,115.71
  5. Step 5: Solve for x
    x = 157,115.71/405.32
  6. Step 6: Final answer
    x = 387.64

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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.