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Finding the Fourth Proportional to 453.39, 680.16 and 270.69

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Solution

The fourth proportional to 453.39, 680.16 and 270.69 is: 406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.39 : 680.16 = 270.69 : x
  2. Step 2: Convert to fraction form
    453.39/680.16 = 270.69/x
  3. Step 3: Cross multiply
    453.39x = 680.16 × 270.69
  4. Step 4: Simplify right side
    453.39x = 184,112.51
  5. Step 5: Solve for x
    x = 184,112.51/453.39
  6. Step 6: Final answer
    x = 406.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.