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Finding the Fourth Proportional to 351.75, 482.94 and 342.72

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Solution

The fourth proportional to 351.75, 482.94 and 342.72 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 482.94 = 342.72 : x
  2. Step 2: Convert to fraction form
    351.75/482.94 = 342.72/x
  3. Step 3: Cross multiply
    351.75x = 482.94 × 342.72
  4. Step 4: Simplify right side
    351.75x = 165,509.93
  5. Step 5: Solve for x
    x = 165,509.93/351.75
  6. Step 6: Final answer
    x = 470.54

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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.