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Finding the Fourth Proportional to 270.43, 407.23 and 236.59

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Solution

The fourth proportional to 270.43, 407.23 and 236.59 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.43 : 407.23 = 236.59 : x
  2. Step 2: Convert to fraction form
    270.43/407.23 = 236.59/x
  3. Step 3: Cross multiply
    270.43x = 407.23 × 236.59
  4. Step 4: Simplify right side
    270.43x = 96,346.55
  5. Step 5: Solve for x
    x = 96,346.55/270.43
  6. Step 6: Final answer
    x = 356.27

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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.