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Finding the Fourth Proportional to 250.28, 344.91 and 180.21

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Solution

The fourth proportional to 250.28, 344.91 and 180.21 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.28 : 344.91 = 180.21 : x
  2. Step 2: Convert to fraction form
    250.28/344.91 = 180.21/x
  3. Step 3: Cross multiply
    250.28x = 344.91 × 180.21
  4. Step 4: Simplify right side
    250.28x = 62,156.23
  5. Step 5: Solve for x
    x = 62,156.23/250.28
  6. Step 6: Final answer
    x = 248.35

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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.