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Finding the Fourth Proportional to 309.97, 427.91 and 270.69

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Solution

The fourth proportional to 309.97, 427.91 and 270.69 is: 373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 427.91 = 270.69 : x
  2. Step 2: Convert to fraction form
    309.97/427.91 = 270.69/x
  3. Step 3: Cross multiply
    309.97x = 427.91 × 270.69
  4. Step 4: Simplify right side
    309.97x = 115,830.96
  5. Step 5: Solve for x
    x = 115,830.96/309.97
  6. Step 6: Final answer
    x = 373.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.