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Finding the Fourth Proportional to 327.77, 493.02 and 325.02

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Solution

The fourth proportional to 327.77, 493.02 and 325.02 is: 488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.77 : 493.02 = 325.02 : x
  2. Step 2: Convert to fraction form
    327.77/493.02 = 325.02/x
  3. Step 3: Cross multiply
    327.77x = 493.02 × 325.02
  4. Step 4: Simplify right side
    327.77x = 160,241.36
  5. Step 5: Solve for x
    x = 160,241.36/327.77
  6. Step 6: Final answer
    x = 488.89

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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.