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Finding the Fourth Proportional to 270.33, 407.48 and 247.24

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Solution

The fourth proportional to 270.33, 407.48 and 247.24 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.33 : 407.48 = 247.24 : x
  2. Step 2: Convert to fraction form
    270.33/407.48 = 247.24/x
  3. Step 3: Cross multiply
    270.33x = 407.48 × 247.24
  4. Step 4: Simplify right side
    270.33x = 100,744.63
  5. Step 5: Solve for x
    x = 100,744.63/270.33
  6. Step 6: Final answer
    x = 372.68

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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.