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Finding the Fourth Proportional to 479.21, 661.44 and 280.08

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Solution

The fourth proportional to 479.21, 661.44 and 280.08 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.21 : 661.44 = 280.08 : x
  2. Step 2: Convert to fraction form
    479.21/661.44 = 280.08/x
  3. Step 3: Cross multiply
    479.21x = 661.44 × 280.08
  4. Step 4: Simplify right side
    479.21x = 185,257.17
  5. Step 5: Solve for x
    x = 185,257.17/479.21
  6. Step 6: Final answer
    x = 386.59

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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.