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Finding the Fourth Proportional to 341.82, 471.96 and 320.22

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Solution

The fourth proportional to 341.82, 471.96 and 320.22 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 471.96 = 320.22 : x
  2. Step 2: Convert to fraction form
    341.82/471.96 = 320.22/x
  3. Step 3: Cross multiply
    341.82x = 471.96 × 320.22
  4. Step 4: Simplify right side
    341.82x = 151,131.03
  5. Step 5: Solve for x
    x = 151,131.03/341.82
  6. Step 6: Final answer
    x = 442.14

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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.