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Finding the Fourth Proportional to 467.06, 643.44 and 326.93

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Solution

The fourth proportional to 467.06, 643.44 and 326.93 is: 450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.06 : 643.44 = 326.93 : x
  2. Step 2: Convert to fraction form
    467.06/643.44 = 326.93/x
  3. Step 3: Cross multiply
    467.06x = 643.44 × 326.93
  4. Step 4: Simplify right side
    467.06x = 210,356.62
  5. Step 5: Solve for x
    x = 210,356.62/467.06
  6. Step 6: Final answer
    x = 450.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.