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Finding the Fourth Proportional to 521.58, 782.31 and 196.98

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Solution

The fourth proportional to 521.58, 782.31 and 196.98 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.58 : 782.31 = 196.98 : x
  2. Step 2: Convert to fraction form
    521.58/782.31 = 196.98/x
  3. Step 3: Cross multiply
    521.58x = 782.31 × 196.98
  4. Step 4: Simplify right side
    521.58x = 154,099.42
  5. Step 5: Solve for x
    x = 154,099.42/521.58
  6. Step 6: Final answer
    x = 295.45

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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.