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Finding the Fourth Proportional to 326.68, 450.54 and 284.58

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Solution

The fourth proportional to 326.68, 450.54 and 284.58 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 450.54 = 284.58 : x
  2. Step 2: Convert to fraction form
    326.68/450.54 = 284.58/x
  3. Step 3: Cross multiply
    326.68x = 450.54 × 284.58
  4. Step 4: Simplify right side
    326.68x = 128,214.67
  5. Step 5: Solve for x
    x = 128,214.67/326.68
  6. Step 6: Final answer
    x = 392.48

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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.