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Finding the Fourth Proportional to 308.93, 427.41 and 270.23

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Solution

The fourth proportional to 308.93, 427.41 and 270.23 is: 373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.93 : 427.41 = 270.23 : x
  2. Step 2: Convert to fraction form
    308.93/427.41 = 270.23/x
  3. Step 3: Cross multiply
    308.93x = 427.41 × 270.23
  4. Step 4: Simplify right side
    308.93x = 115,496.87
  5. Step 5: Solve for x
    x = 115,496.87/308.93
  6. Step 6: Final answer
    x = 373.87

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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.