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Finding the Fourth Proportional to 270.30, 407.16 and 222.78

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Solution

The fourth proportional to 270.30, 407.16 and 222.78 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 407.16 = 222.78 : x
  2. Step 2: Convert to fraction form
    270.30/407.16 = 222.78/x
  3. Step 3: Cross multiply
    270.30x = 407.16 × 222.78
  4. Step 4: Simplify right side
    270.30x = 90,707.10
  5. Step 5: Solve for x
    x = 90,707.10/270.30
  6. Step 6: Final answer
    x = 335.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.