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Finding the Fourth Proportional to 326.74, 486.74 and 306.82

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Solution

The fourth proportional to 326.74, 486.74 and 306.82 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.74 : 486.74 = 306.82 : x
  2. Step 2: Convert to fraction form
    326.74/486.74 = 306.82/x
  3. Step 3: Cross multiply
    326.74x = 486.74 × 306.82
  4. Step 4: Simplify right side
    326.74x = 149,341.57
  5. Step 5: Solve for x
    x = 149,341.57/326.74
  6. Step 6: Final answer
    x = 457.07

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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.