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Finding the Fourth Proportional to 355.20, 529.92 and 322.56

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Solution

The fourth proportional to 355.20, 529.92 and 322.56 is: 481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 529.92 = 322.56 : x
  2. Step 2: Convert to fraction form
    355.20/529.92 = 322.56/x
  3. Step 3: Cross multiply
    355.20x = 529.92 × 322.56
  4. Step 4: Simplify right side
    355.20x = 170,931.00
  5. Step 5: Solve for x
    x = 170,931.00/355.20
  6. Step 6: Final answer
    x = 481.22

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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.