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Finding the Fourth Proportional to 280.62, 387.28 and 164.22

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Solution

The fourth proportional to 280.62, 387.28 and 164.22 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 387.28 = 164.22 : x
  2. Step 2: Convert to fraction form
    280.62/387.28 = 164.22/x
  3. Step 3: Cross multiply
    280.62x = 387.28 × 164.22
  4. Step 4: Simplify right side
    280.62x = 63,599.12
  5. Step 5: Solve for x
    x = 63,599.12/280.62
  6. Step 6: Final answer
    x = 226.64

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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.