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Finding the Fourth Proportional to 270.15, 404.82 and 154.53

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Solution

The fourth proportional to 270.15, 404.82 and 154.53 is: 231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.15 : 404.82 = 154.53 : x
  2. Step 2: Convert to fraction form
    270.15/404.82 = 154.53/x
  3. Step 3: Cross multiply
    270.15x = 404.82 × 154.53
  4. Step 4: Simplify right side
    270.15x = 62,556.83
  5. Step 5: Solve for x
    x = 62,556.83/270.15
  6. Step 6: Final answer
    x = 231.56

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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.