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Finding the Fourth Proportional to 354.97, 533.06 and 172.57

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Solution

The fourth proportional to 354.97, 533.06 and 172.57 is: 259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.97 : 533.06 = 172.57 : x
  2. Step 2: Convert to fraction form
    354.97/533.06 = 172.57/x
  3. Step 3: Cross multiply
    354.97x = 533.06 × 172.57
  4. Step 4: Simplify right side
    354.97x = 91,990.16
  5. Step 5: Solve for x
    x = 91,990.16/354.97
  6. Step 6: Final answer
    x = 259.15

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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.