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Finding the Fourth Proportional to 345.46, 476.73 and 196.08

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Solution

The fourth proportional to 345.46, 476.73 and 196.08 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 476.73 = 196.08 : x
  2. Step 2: Convert to fraction form
    345.46/476.73 = 196.08/x
  3. Step 3: Cross multiply
    345.46x = 476.73 × 196.08
  4. Step 4: Simplify right side
    345.46x = 93,477.22
  5. Step 5: Solve for x
    x = 93,477.22/345.46
  6. Step 6: Final answer
    x = 270.59

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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.