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Finding the Fourth Proportional to 326.52, 487.74 and 277.92

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Solution

The fourth proportional to 326.52, 487.74 and 277.92 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.52 : 487.74 = 277.92 : x
  2. Step 2: Convert to fraction form
    326.52/487.74 = 277.92/x
  3. Step 3: Cross multiply
    326.52x = 487.74 × 277.92
  4. Step 4: Simplify right side
    326.52x = 135,552.70
  5. Step 5: Solve for x
    x = 135,552.70/326.52
  6. Step 6: Final answer
    x = 415.14

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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.