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Finding the Fourth Proportional to 341.48, 471.21 and 194.10

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Solution

The fourth proportional to 341.48, 471.21 and 194.10 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 471.21 = 194.10 : x
  2. Step 2: Convert to fraction form
    341.48/471.21 = 194.10/x
  3. Step 3: Cross multiply
    341.48x = 471.21 × 194.10
  4. Step 4: Simplify right side
    341.48x = 91,461.86
  5. Step 5: Solve for x
    x = 91,461.86/341.48
  6. Step 6: Final answer
    x = 267.84

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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.