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Finding the Fourth Proportional to 342.96, 475.26 and 278.16

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Solution

The fourth proportional to 342.96, 475.26 and 278.16 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 475.26 = 278.16 : x
  2. Step 2: Convert to fraction form
    342.96/475.26 = 278.16/x
  3. Step 3: Cross multiply
    342.96x = 475.26 × 278.16
  4. Step 4: Simplify right side
    342.96x = 132,198.32
  5. Step 5: Solve for x
    x = 132,198.32/342.96
  6. Step 6: Final answer
    x = 385.46

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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.