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Finding the Fourth Proportional to 310.37, 465.66 and 161.75

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Solution

The fourth proportional to 310.37, 465.66 and 161.75 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 465.66 = 161.75 : x
  2. Step 2: Convert to fraction form
    310.37/465.66 = 161.75/x
  3. Step 3: Cross multiply
    310.37x = 465.66 × 161.75
  4. Step 4: Simplify right side
    310.37x = 75,320.51
  5. Step 5: Solve for x
    x = 75,320.51/310.37
  6. Step 6: Final answer
    x = 242.68

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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.