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Finding the Fourth Proportional to 342.05, 468.96 and 335.90

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Solution

The fourth proportional to 342.05, 468.96 and 335.90 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.05 : 468.96 = 335.90 : x
  2. Step 2: Convert to fraction form
    342.05/468.96 = 335.90/x
  3. Step 3: Cross multiply
    342.05x = 468.96 × 335.90
  4. Step 4: Simplify right side
    342.05x = 157,523.66
  5. Step 5: Solve for x
    x = 157,523.66/342.05
  6. Step 6: Final answer
    x = 460.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.