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Finding the Fourth Proportional to 490, 675.05 and 342.37

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Solution

The fourth proportional to 490, 675.05 and 342.37 is: 471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 675.05 = 342.37 : x
  2. Step 2: Convert to fraction form
    490/675.05 = 342.37/x
  3. Step 3: Cross multiply
    490x = 675.05 × 342.37
  4. Step 4: Simplify right side
    490x = 231,116.87
  5. Step 5: Solve for x
    x = 231,116.87/490
  6. Step 6: Final answer
    x = 471.67

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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.