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Finding the Fourth Proportional to 310.61, 465.78 and 137.33

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Solution

The fourth proportional to 310.61, 465.78 and 137.33 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.61 : 465.78 = 137.33 : x
  2. Step 2: Convert to fraction form
    310.61/465.78 = 137.33/x
  3. Step 3: Cross multiply
    310.61x = 465.78 × 137.33
  4. Step 4: Simplify right side
    310.61x = 63,965.57
  5. Step 5: Solve for x
    x = 63,965.57/310.61
  6. Step 6: Final answer
    x = 205.94

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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.