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Finding the Fourth Proportional to 310.37, 465.85 and 164.23

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Solution

The fourth proportional to 310.37, 465.85 and 164.23 is: 246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 465.85 = 164.23 : x
  2. Step 2: Convert to fraction form
    310.37/465.85 = 164.23/x
  3. Step 3: Cross multiply
    310.37x = 465.85 × 164.23
  4. Step 4: Simplify right side
    310.37x = 76,506.55
  5. Step 5: Solve for x
    x = 76,506.55/310.37
  6. Step 6: Final answer
    x = 246.50

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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.