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Finding the Fourth Proportional to 341.77, 471.57 and 194.40

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Solution

The fourth proportional to 341.77, 471.57 and 194.40 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.77 : 471.57 = 194.40 : x
  2. Step 2: Convert to fraction form
    341.77/471.57 = 194.40/x
  3. Step 3: Cross multiply
    341.77x = 471.57 × 194.40
  4. Step 4: Simplify right side
    341.77x = 91,673.21
  5. Step 5: Solve for x
    x = 91,673.21/341.77
  6. Step 6: Final answer
    x = 268.23

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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.