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Finding the Fourth Proportional to 341.87, 471.76 and 194.48

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Solution

The fourth proportional to 341.87, 471.76 and 194.48 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.87 : 471.76 = 194.48 : x
  2. Step 2: Convert to fraction form
    341.87/471.76 = 194.48/x
  3. Step 3: Cross multiply
    341.87x = 471.76 × 194.48
  4. Step 4: Simplify right side
    341.87x = 91,746.81
  5. Step 5: Solve for x
    x = 91,746.81/341.87
  6. Step 6: Final answer
    x = 268.37

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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.