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Finding the Fourth Proportional to 455.08, 681.90 and 198.28

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Solution

The fourth proportional to 455.08, 681.90 and 198.28 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 681.90 = 198.28 : x
  2. Step 2: Convert to fraction form
    455.08/681.90 = 198.28/x
  3. Step 3: Cross multiply
    455.08x = 681.90 × 198.28
  4. Step 4: Simplify right side
    455.08x = 135,207.13
  5. Step 5: Solve for x
    x = 135,207.13/455.08
  6. Step 6: Final answer
    x = 297.11

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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.