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Finding the Fourth Proportional to 270.47, 404.88 and 244.80

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Solution

The fourth proportional to 270.47, 404.88 and 244.80 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.47 : 404.88 = 244.80 : x
  2. Step 2: Convert to fraction form
    270.47/404.88 = 244.80/x
  3. Step 3: Cross multiply
    270.47x = 404.88 × 244.80
  4. Step 4: Simplify right side
    270.47x = 99,114.62
  5. Step 5: Solve for x
    x = 99,114.62/270.47
  6. Step 6: Final answer
    x = 366.46

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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.