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Finding the Fourth Proportional to 270.39, 407.56 and 247.31

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Solution

The fourth proportional to 270.39, 407.56 and 247.31 is: 372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.39 : 407.56 = 247.31 : x
  2. Step 2: Convert to fraction form
    270.39/407.56 = 247.31/x
  3. Step 3: Cross multiply
    270.39x = 407.56 × 247.31
  4. Step 4: Simplify right side
    270.39x = 100,793.66
  5. Step 5: Solve for x
    x = 100,793.66/270.39
  6. Step 6: Final answer
    x = 372.77

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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.