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Finding the Fourth Proportional to 342.31, 471.38 and 295.54

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Solution

The fourth proportional to 342.31, 471.38 and 295.54 is: 406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.31 : 471.38 = 295.54 : x
  2. Step 2: Convert to fraction form
    342.31/471.38 = 295.54/x
  3. Step 3: Cross multiply
    342.31x = 471.38 × 295.54
  4. Step 4: Simplify right side
    342.31x = 139,311.65
  5. Step 5: Solve for x
    x = 139,311.65/342.31
  6. Step 6: Final answer
    x = 406.98

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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.