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Finding the Fourth Proportional to 342.15, 475.35 and 338.05

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Solution

The fourth proportional to 342.15, 475.35 and 338.05 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.15 : 475.35 = 338.05 : x
  2. Step 2: Convert to fraction form
    342.15/475.35 = 338.05/x
  3. Step 3: Cross multiply
    342.15x = 475.35 × 338.05
  4. Step 4: Simplify right side
    342.15x = 160,694.25
  5. Step 5: Solve for x
    x = 160,694.25/342.15
  6. Step 6: Final answer
    x = 469.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.