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Finding the Fourth Proportional to 360.45, 493.83 and 346.61

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Solution

The fourth proportional to 360.45, 493.83 and 346.61 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.45 : 493.83 = 346.61 : x
  2. Step 2: Convert to fraction form
    360.45/493.83 = 346.61/x
  3. Step 3: Cross multiply
    360.45x = 493.83 × 346.61
  4. Step 4: Simplify right side
    360.45x = 171,167.65
  5. Step 5: Solve for x
    x = 171,167.65/360.45
  6. Step 6: Final answer
    x = 474.87

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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.