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Finding the Fourth Proportional to 355.83, 532.89 and 172.64

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Solution

The fourth proportional to 355.83, 532.89 and 172.64 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.83 : 532.89 = 172.64 : x
  2. Step 2: Convert to fraction form
    355.83/532.89 = 172.64/x
  3. Step 3: Cross multiply
    355.83x = 532.89 × 172.64
  4. Step 4: Simplify right side
    355.83x = 91,995.47
  5. Step 5: Solve for x
    x = 91,995.47/355.83
  6. Step 6: Final answer
    x = 258.54

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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.