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Finding the Fourth Proportional to 355.31, 532.48 and 172.36

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Solution

The fourth proportional to 355.31, 532.48 and 172.36 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 532.48 = 172.36 : x
  2. Step 2: Convert to fraction form
    355.31/532.48 = 172.36/x
  3. Step 3: Cross multiply
    355.31x = 532.48 × 172.36
  4. Step 4: Simplify right side
    355.31x = 91,778.25
  5. Step 5: Solve for x
    x = 91,778.25/355.31
  6. Step 6: Final answer
    x = 258.30

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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.