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Finding the Fourth Proportional to 290.73, 401.16 and 192.45

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Solution

The fourth proportional to 290.73, 401.16 and 192.45 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.73 : 401.16 = 192.45 : x
  2. Step 2: Convert to fraction form
    290.73/401.16 = 192.45/x
  3. Step 3: Cross multiply
    290.73x = 401.16 × 192.45
  4. Step 4: Simplify right side
    290.73x = 77,203.24
  5. Step 5: Solve for x
    x = 77,203.24/290.73
  6. Step 6: Final answer
    x = 265.55

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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.