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Finding the Fourth Proportional to 345.95, 477.48 and 198.68

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Solution

The fourth proportional to 345.95, 477.48 and 198.68 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.95 : 477.48 = 198.68 : x
  2. Step 2: Convert to fraction form
    345.95/477.48 = 198.68/x
  3. Step 3: Cross multiply
    345.95x = 477.48 × 198.68
  4. Step 4: Simplify right side
    345.95x = 94,864.73
  5. Step 5: Solve for x
    x = 94,864.73/345.95
  6. Step 6: Final answer
    x = 274.22

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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.