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Finding the Fourth Proportional to 326.96, 448.92 and 303.76

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Solution

The fourth proportional to 326.96, 448.92 and 303.76 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 448.92 = 303.76 : x
  2. Step 2: Convert to fraction form
    326.96/448.92 = 303.76/x
  3. Step 3: Cross multiply
    326.96x = 448.92 × 303.76
  4. Step 4: Simplify right side
    326.96x = 136,363.94
  5. Step 5: Solve for x
    x = 136,363.94/326.96
  6. Step 6: Final answer
    x = 417.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.