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Finding the Fourth Proportional to 272.90, 410.96 and 229.94

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Solution

The fourth proportional to 272.90, 410.96 and 229.94 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 410.96 = 229.94 : x
  2. Step 2: Convert to fraction form
    272.90/410.96 = 229.94/x
  3. Step 3: Cross multiply
    272.90x = 410.96 × 229.94
  4. Step 4: Simplify right side
    272.90x = 94,496.14
  5. Step 5: Solve for x
    x = 94,496.14/272.90
  6. Step 6: Final answer
    x = 346.27

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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.