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Finding the Fourth Proportional to 345.75, 477.17 and 198.37

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Solution

The fourth proportional to 345.75, 477.17 and 198.37 is: 273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 477.17 = 198.37 : x
  2. Step 2: Convert to fraction form
    345.75/477.17 = 198.37/x
  3. Step 3: Cross multiply
    345.75x = 477.17 × 198.37
  4. Step 4: Simplify right side
    345.75x = 94,656.21
  5. Step 5: Solve for x
    x = 94,656.21/345.75
  6. Step 6: Final answer
    x = 273.77

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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.