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Finding the Fourth Proportional to 522.61, 784.05 and 198

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Solution

The fourth proportional to 522.61, 784.05 and 198 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.61 : 784.05 = 198 : x
  2. Step 2: Convert to fraction form
    522.61/784.05 = 198/x
  3. Step 3: Cross multiply
    522.61x = 784.05 × 198
  4. Step 4: Simplify right side
    522.61x = 155,241.90
  5. Step 5: Solve for x
    x = 155,241.90/522.61
  6. Step 6: Final answer
    x = 297.05

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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.