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Finding the Fourth Proportional to 467.35, 645.15 and 280.87

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Solution

The fourth proportional to 467.35, 645.15 and 280.87 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.35 : 645.15 = 280.87 : x
  2. Step 2: Convert to fraction form
    467.35/645.15 = 280.87/x
  3. Step 3: Cross multiply
    467.35x = 645.15 × 280.87
  4. Step 4: Simplify right side
    467.35x = 181,203.28
  5. Step 5: Solve for x
    x = 181,203.28/467.35
  6. Step 6: Final answer
    x = 387.73

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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.