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Finding the Fourth Proportional to 310.70, 465.84 and 105.23

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Solution

The fourth proportional to 310.70, 465.84 and 105.23 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 465.84 = 105.23 : x
  2. Step 2: Convert to fraction form
    310.70/465.84 = 105.23/x
  3. Step 3: Cross multiply
    310.70x = 465.84 × 105.23
  4. Step 4: Simplify right side
    310.70x = 49,021.51
  5. Step 5: Solve for x
    x = 49,021.51/310.70
  6. Step 6: Final answer
    x = 157.78

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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.