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Finding the Fourth Proportional to 326.61, 486.64 and 306.09

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Solution

The fourth proportional to 326.61, 486.64 and 306.09 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.61 : 486.64 = 306.09 : x
  2. Step 2: Convert to fraction form
    326.61/486.64 = 306.09/x
  3. Step 3: Cross multiply
    326.61x = 486.64 × 306.09
  4. Step 4: Simplify right side
    326.61x = 148,956.02
  5. Step 5: Solve for x
    x = 148,956.02/326.61
  6. Step 6: Final answer
    x = 456.07

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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.