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Finding the Fourth Proportional to 345.57, 476.85 and 198.21

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Solution

The fourth proportional to 345.57, 476.85 and 198.21 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.57 : 476.85 = 198.21 : x
  2. Step 2: Convert to fraction form
    345.57/476.85 = 198.21/x
  3. Step 3: Cross multiply
    345.57x = 476.85 × 198.21
  4. Step 4: Simplify right side
    345.57x = 94,516.44
  5. Step 5: Solve for x
    x = 94,516.44/345.57
  6. Step 6: Final answer
    x = 273.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.