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Finding the Fourth Proportional to 334.32, 461.41 and 192.57

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Solution

The fourth proportional to 334.32, 461.41 and 192.57 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 461.41 = 192.57 : x
  2. Step 2: Convert to fraction form
    334.32/461.41 = 192.57/x
  3. Step 3: Cross multiply
    334.32x = 461.41 × 192.57
  4. Step 4: Simplify right side
    334.32x = 88,853.72
  5. Step 5: Solve for x
    x = 88,853.72/334.32
  6. Step 6: Final answer
    x = 265.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.