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Finding the Fourth Proportional to 325.78, 491.08 and 320.92

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Solution

The fourth proportional to 325.78, 491.08 and 320.92 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 491.08 = 320.92 : x
  2. Step 2: Convert to fraction form
    325.78/491.08 = 320.92/x
  3. Step 3: Cross multiply
    325.78x = 491.08 × 320.92
  4. Step 4: Simplify right side
    325.78x = 157,597.39
  5. Step 5: Solve for x
    x = 157,597.39/325.78
  6. Step 6: Final answer
    x = 483.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.