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Finding the Fourth Proportional to 525.53, 788.25 and 178.82

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Solution

The fourth proportional to 525.53, 788.25 and 178.82 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.53 : 788.25 = 178.82 : x
  2. Step 2: Convert to fraction form
    525.53/788.25 = 178.82/x
  3. Step 3: Cross multiply
    525.53x = 788.25 × 178.82
  4. Step 4: Simplify right side
    525.53x = 140,954.87
  5. Step 5: Solve for x
    x = 140,954.87/525.53
  6. Step 6: Final answer
    x = 268.21

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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.