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Finding the Fourth Proportional to 280.96, 387.66 and 222.64

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Solution

The fourth proportional to 280.96, 387.66 and 222.64 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 387.66 = 222.64 : x
  2. Step 2: Convert to fraction form
    280.96/387.66 = 222.64/x
  3. Step 3: Cross multiply
    280.96x = 387.66 × 222.64
  4. Step 4: Simplify right side
    280.96x = 86,308.62
  5. Step 5: Solve for x
    x = 86,308.62/280.96
  6. Step 6: Final answer
    x = 307.19

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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.