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Finding the Fourth Proportional to 479.16, 661.28 and 280.04

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Solution

The fourth proportional to 479.16, 661.28 and 280.04 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.16 : 661.28 = 280.04 : x
  2. Step 2: Convert to fraction form
    479.16/661.28 = 280.04/x
  3. Step 3: Cross multiply
    479.16x = 661.28 × 280.04
  4. Step 4: Simplify right side
    479.16x = 185,180.14
  5. Step 5: Solve for x
    x = 185,180.14/479.16
  6. Step 6: Final answer
    x = 386.47

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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.