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Finding the Fourth Proportional to 274.88, 410.42 and 236.30

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Solution

The fourth proportional to 274.88, 410.42 and 236.30 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 410.42 = 236.30 : x
  2. Step 2: Convert to fraction form
    274.88/410.42 = 236.30/x
  3. Step 3: Cross multiply
    274.88x = 410.42 × 236.30
  4. Step 4: Simplify right side
    274.88x = 96,982.25
  5. Step 5: Solve for x
    x = 96,982.25/274.88
  6. Step 6: Final answer
    x = 352.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.