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Finding the Fourth Proportional to 345.80, 477.20 and 190.55

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Solution

The fourth proportional to 345.80, 477.20 and 190.55 is: 262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 477.20 = 190.55 : x
  2. Step 2: Convert to fraction form
    345.80/477.20 = 190.55/x
  3. Step 3: Cross multiply
    345.80x = 477.20 × 190.55
  4. Step 4: Simplify right side
    345.80x = 90,930.46
  5. Step 5: Solve for x
    x = 90,930.46/345.80
  6. Step 6: Final answer
    x = 262.96

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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.