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Finding the Fourth Proportional to 272.90, 411.17 and 236.45

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Solution

The fourth proportional to 272.90, 411.17 and 236.45 is: 356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 411.17 = 236.45 : x
  2. Step 2: Convert to fraction form
    272.90/411.17 = 236.45/x
  3. Step 3: Cross multiply
    272.90x = 411.17 × 236.45
  4. Step 4: Simplify right side
    272.90x = 97,221.15
  5. Step 5: Solve for x
    x = 97,221.15/272.90
  6. Step 6: Final answer
    x = 356.25

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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.