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Finding the Fourth Proportional to 525.43, 788.09 and 178.72

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Solution

The fourth proportional to 525.43, 788.09 and 178.72 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.43 : 788.09 = 178.72 : x
  2. Step 2: Convert to fraction form
    525.43/788.09 = 178.72/x
  3. Step 3: Cross multiply
    525.43x = 788.09 × 178.72
  4. Step 4: Simplify right side
    525.43x = 140,847.44
  5. Step 5: Solve for x
    x = 140,847.44/525.43
  6. Step 6: Final answer
    x = 268.06

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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.