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Finding the Fourth Proportional to 310.51, 465.85 and 137.21

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Solution

The fourth proportional to 310.51, 465.85 and 137.21 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 465.85 = 137.21 : x
  2. Step 2: Convert to fraction form
    310.51/465.85 = 137.21/x
  3. Step 3: Cross multiply
    310.51x = 465.85 × 137.21
  4. Step 4: Simplify right side
    310.51x = 63,919.28
  5. Step 5: Solve for x
    x = 63,919.28/310.51
  6. Step 6: Final answer
    x = 205.85

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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.