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Finding the Fourth Proportional to 270.70, 406.86 and 257.20

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Solution

The fourth proportional to 270.70, 406.86 and 257.20 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.70 : 406.86 = 257.20 : x
  2. Step 2: Convert to fraction form
    270.70/406.86 = 257.20/x
  3. Step 3: Cross multiply
    270.70x = 406.86 × 257.20
  4. Step 4: Simplify right side
    270.70x = 104,644.39
  5. Step 5: Solve for x
    x = 104,644.39/270.70
  6. Step 6: Final answer
    x = 386.57

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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.