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Finding the Fourth Proportional to 522.90, 784.40 and 198.18

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Solution

The fourth proportional to 522.90, 784.40 and 198.18 is: 297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 784.40 = 198.18 : x
  2. Step 2: Convert to fraction form
    522.90/784.40 = 198.18/x
  3. Step 3: Cross multiply
    522.90x = 784.40 × 198.18
  4. Step 4: Simplify right side
    522.90x = 155,451.40
  5. Step 5: Solve for x
    x = 155,451.40/522.90
  6. Step 6: Final answer
    x = 297.29

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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.