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Finding the Fourth Proportional to 522.90, 784.19 and 198.19

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Solution

The fourth proportional to 522.90, 784.19 and 198.19 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 784.19 = 198.19 : x
  2. Step 2: Convert to fraction form
    522.90/784.19 = 198.19/x
  3. Step 3: Cross multiply
    522.90x = 784.19 × 198.19
  4. Step 4: Simplify right side
    522.90x = 155,417.15
  5. Step 5: Solve for x
    x = 155,417.15/522.90
  6. Step 6: Final answer
    x = 297.22

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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.