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Finding the Fourth Proportional to 468.12, 699.73 and 330.24

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Solution

The fourth proportional to 468.12, 699.73 and 330.24 is: 493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 699.73 = 330.24 : x
  2. Step 2: Convert to fraction form
    468.12/699.73 = 330.24/x
  3. Step 3: Cross multiply
    468.12x = 699.73 × 330.24
  4. Step 4: Simplify right side
    468.12x = 231,078.84
  5. Step 5: Solve for x
    x = 231,078.84/468.12
  6. Step 6: Final answer
    x = 493.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.