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Finding the Fourth Proportional to 388.02, 535.40 and 222.20

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Solution

The fourth proportional to 388.02, 535.40 and 222.20 is: 306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.02 : 535.40 = 222.20 : x
  2. Step 2: Convert to fraction form
    388.02/535.40 = 222.20/x
  3. Step 3: Cross multiply
    388.02x = 535.40 × 222.20
  4. Step 4: Simplify right side
    388.02x = 118,965.88
  5. Step 5: Solve for x
    x = 118,965.88/388.02
  6. Step 6: Final answer
    x = 306.60

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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.