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Finding the Fourth Proportional to 351.46, 524.59 and 322.60

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Solution

The fourth proportional to 351.46, 524.59 and 322.60 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.46 : 524.59 = 322.60 : x
  2. Step 2: Convert to fraction form
    351.46/524.59 = 322.60/x
  3. Step 3: Cross multiply
    351.46x = 524.59 × 322.60
  4. Step 4: Simplify right side
    351.46x = 169,232.73
  5. Step 5: Solve for x
    x = 169,232.73/351.46
  6. Step 6: Final answer
    x = 481.51

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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.