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Finding the Fourth Proportional to 449.70, 675.01 and 342.17

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Solution

The fourth proportional to 449.70, 675.01 and 342.17 is: 513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.70 : 675.01 = 342.17 : x
  2. Step 2: Convert to fraction form
    449.70/675.01 = 342.17/x
  3. Step 3: Cross multiply
    449.70x = 675.01 × 342.17
  4. Step 4: Simplify right side
    449.70x = 230,970.59
  5. Step 5: Solve for x
    x = 230,970.59/449.70
  6. Step 6: Final answer
    x = 513.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.