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Finding the Fourth Proportional to 387.96, 535.40 and 222.20

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Solution

The fourth proportional to 387.96, 535.40 and 222.20 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 535.40 = 222.20 : x
  2. Step 2: Convert to fraction form
    387.96/535.40 = 222.20/x
  3. Step 3: Cross multiply
    387.96x = 535.40 × 222.20
  4. Step 4: Simplify right side
    387.96x = 118,965.88
  5. Step 5: Solve for x
    x = 118,965.88/387.96
  6. Step 6: Final answer
    x = 306.64

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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.