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Finding the Fourth Proportional to 327.02, 450.64 and 233.51

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Solution

The fourth proportional to 327.02, 450.64 and 233.51 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.02 : 450.64 = 233.51 : x
  2. Step 2: Convert to fraction form
    327.02/450.64 = 233.51/x
  3. Step 3: Cross multiply
    327.02x = 450.64 × 233.51
  4. Step 4: Simplify right side
    327.02x = 105,225.53
  5. Step 5: Solve for x
    x = 105,225.53/327.02
  6. Step 6: Final answer
    x = 321.77

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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.