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Finding the Fourth Proportional to 291.11, 401.51 and 192.83

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Solution

The fourth proportional to 291.11, 401.51 and 192.83 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.11 : 401.51 = 192.83 : x
  2. Step 2: Convert to fraction form
    291.11/401.51 = 192.83/x
  3. Step 3: Cross multiply
    291.11x = 401.51 × 192.83
  4. Step 4: Simplify right side
    291.11x = 77,422.21
  5. Step 5: Solve for x
    x = 77,422.21/291.11
  6. Step 6: Final answer
    x = 265.96

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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.