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Finding the Fourth Proportional to 355.48, 532.92 and 157.68

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Solution

The fourth proportional to 355.48, 532.92 and 157.68 is: 236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.48 : 532.92 = 157.68 : x
  2. Step 2: Convert to fraction form
    355.48/532.92 = 157.68/x
  3. Step 3: Cross multiply
    355.48x = 532.92 × 157.68
  4. Step 4: Simplify right side
    355.48x = 84,027.37
  5. Step 5: Solve for x
    x = 84,027.37/355.48
  6. Step 6: Final answer
    x = 236.38

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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.