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Finding the Fourth Proportional to 355.56, 533.40 and 172.97

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Solution

The fourth proportional to 355.56, 533.40 and 172.97 is: 259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.56 : 533.40 = 172.97 : x
  2. Step 2: Convert to fraction form
    355.56/533.40 = 172.97/x
  3. Step 3: Cross multiply
    355.56x = 533.40 × 172.97
  4. Step 4: Simplify right side
    355.56x = 92,262.20
  5. Step 5: Solve for x
    x = 92,262.20/355.56
  6. Step 6: Final answer
    x = 259.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.