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Finding the Fourth Proportional to 525.47, 788.23 and 200.81

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Solution

The fourth proportional to 525.47, 788.23 and 200.81 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.47 : 788.23 = 200.81 : x
  2. Step 2: Convert to fraction form
    525.47/788.23 = 200.81/x
  3. Step 3: Cross multiply
    525.47x = 788.23 × 200.81
  4. Step 4: Simplify right side
    525.47x = 158,286.69
  5. Step 5: Solve for x
    x = 158,286.69/525.47
  6. Step 6: Final answer
    x = 301.23

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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.