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Finding the Fourth Proportional to 251.40, 378.66 and 229.26

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Solution

The fourth proportional to 251.40, 378.66 and 229.26 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 378.66 = 229.26 : x
  2. Step 2: Convert to fraction form
    251.40/378.66 = 229.26/x
  3. Step 3: Cross multiply
    251.40x = 378.66 × 229.26
  4. Step 4: Simplify right side
    251.40x = 86,811.59
  5. Step 5: Solve for x
    x = 86,811.59/251.40
  6. Step 6: Final answer
    x = 345.31

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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.