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Finding the Fourth Proportional to 330.88, 493.82 and 322.24

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Solution

The fourth proportional to 330.88, 493.82 and 322.24 is: 480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 493.82 = 322.24 : x
  2. Step 2: Convert to fraction form
    330.88/493.82 = 322.24/x
  3. Step 3: Cross multiply
    330.88x = 493.82 × 322.24
  4. Step 4: Simplify right side
    330.88x = 159,128.56
  5. Step 5: Solve for x
    x = 159,128.56/330.88
  6. Step 6: Final answer
    x = 480.93

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