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Finding the Fourth Proportional to 326.72, 448.18 and 309.06

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Solution

The fourth proportional to 326.72, 448.18 and 309.06 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.72 : 448.18 = 309.06 : x
  2. Step 2: Convert to fraction form
    326.72/448.18 = 309.06/x
  3. Step 3: Cross multiply
    326.72x = 448.18 × 309.06
  4. Step 4: Simplify right side
    326.72x = 138,514.51
  5. Step 5: Solve for x
    x = 138,514.51/326.72
  6. Step 6: Final answer
    x = 423.95

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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.