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Finding the Fourth Proportional to 326.80, 491.76 and 307.36

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Solution

The fourth proportional to 326.80, 491.76 and 307.36 is: 462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.80 : 491.76 = 307.36 : x
  2. Step 2: Convert to fraction form
    326.80/491.76 = 307.36/x
  3. Step 3: Cross multiply
    326.80x = 491.76 × 307.36
  4. Step 4: Simplify right side
    326.80x = 151,147.35
  5. Step 5: Solve for x
    x = 151,147.35/326.80
  6. Step 6: Final answer
    x = 462.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.