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Finding the Fourth Proportional to 521.60, 782.40 and 192.56

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Solution

The fourth proportional to 521.60, 782.40 and 192.56 is: 288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 782.40 = 192.56 : x
  2. Step 2: Convert to fraction form
    521.60/782.40 = 192.56/x
  3. Step 3: Cross multiply
    521.60x = 782.40 × 192.56
  4. Step 4: Simplify right side
    521.60x = 150,658.94
  5. Step 5: Solve for x
    x = 150,658.94/521.60
  6. Step 6: Final answer
    x = 288.84

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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.