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Finding the Fourth Proportional to 341.10, 470.79 and 193.77

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Solution

The fourth proportional to 341.10, 470.79 and 193.77 is: 267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.10 : 470.79 = 193.77 : x
  2. Step 2: Convert to fraction form
    341.10/470.79 = 193.77/x
  3. Step 3: Cross multiply
    341.10x = 470.79 × 193.77
  4. Step 4: Simplify right side
    341.10x = 91,224.98
  5. Step 5: Solve for x
    x = 91,224.98/341.10
  6. Step 6: Final answer
    x = 267.44

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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.