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Finding the Fourth Proportional to 490.23, 675.95 and 342.45

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Solution

The fourth proportional to 490.23, 675.95 and 342.45 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 675.95 = 342.45 : x
  2. Step 2: Convert to fraction form
    490.23/675.95 = 342.45/x
  3. Step 3: Cross multiply
    490.23x = 675.95 × 342.45
  4. Step 4: Simplify right side
    490.23x = 231,477.37
  5. Step 5: Solve for x
    x = 231,477.37/490.23
  6. Step 6: Final answer
    x = 472.18

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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.