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Finding the Fourth Proportional to 345.82, 477.23 and 190.57

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Solution

The fourth proportional to 345.82, 477.23 and 190.57 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 477.23 = 190.57 : x
  2. Step 2: Convert to fraction form
    345.82/477.23 = 190.57/x
  3. Step 3: Cross multiply
    345.82x = 477.23 × 190.57
  4. Step 4: Simplify right side
    345.82x = 90,945.72
  5. Step 5: Solve for x
    x = 90,945.72/345.82
  6. Step 6: Final answer
    x = 262.99

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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.