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Finding the Fourth Proportional to 326.88, 450.90 and 283.14

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Solution

The fourth proportional to 326.88, 450.90 and 283.14 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 450.90 = 283.14 : x
  2. Step 2: Convert to fraction form
    326.88/450.90 = 283.14/x
  3. Step 3: Cross multiply
    326.88x = 450.90 × 283.14
  4. Step 4: Simplify right side
    326.88x = 127,667.83
  5. Step 5: Solve for x
    x = 127,667.83/326.88
  6. Step 6: Final answer
    x = 390.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.