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Finding the Fourth Proportional to 270.27, 404.55 and 148.23

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Solution

The fourth proportional to 270.27, 404.55 and 148.23 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 404.55 = 148.23 : x
  2. Step 2: Convert to fraction form
    270.27/404.55 = 148.23/x
  3. Step 3: Cross multiply
    270.27x = 404.55 × 148.23
  4. Step 4: Simplify right side
    270.27x = 59,966.45
  5. Step 5: Solve for x
    x = 59,966.45/270.27
  6. Step 6: Final answer
    x = 221.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.