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Finding the Fourth Proportional to 353.37, 529.86 and 170.78

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Solution

The fourth proportional to 353.37, 529.86 and 170.78 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.37 : 529.86 = 170.78 : x
  2. Step 2: Convert to fraction form
    353.37/529.86 = 170.78/x
  3. Step 3: Cross multiply
    353.37x = 529.86 × 170.78
  4. Step 4: Simplify right side
    353.37x = 90,486.84
  5. Step 5: Solve for x
    x = 90,486.84/353.37
  6. Step 6: Final answer
    x = 256.07

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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.