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Finding the Fourth Proportional to 522.21, 782.94 and 248.15

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Solution

The fourth proportional to 522.21, 782.94 and 248.15 is: 372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.21 : 782.94 = 248.15 : x
  2. Step 2: Convert to fraction form
    522.21/782.94 = 248.15/x
  3. Step 3: Cross multiply
    522.21x = 782.94 × 248.15
  4. Step 4: Simplify right side
    522.21x = 194,286.56
  5. Step 5: Solve for x
    x = 194,286.56/522.21
  6. Step 6: Final answer
    x = 372.05

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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.