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Finding the Fourth Proportional to 37.09, 55.39 and 30.25

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Solution

The fourth proportional to 37.09, 55.39 and 30.25 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.09 : 55.39 = 30.25 : x
  2. Step 2: Convert to fraction form
    37.09/55.39 = 30.25/x
  3. Step 3: Cross multiply
    37.09x = 55.39 × 30.25
  4. Step 4: Simplify right side
    37.09x = 1,675.27
  5. Step 5: Solve for x
    x = 1,675.27/37.09
  6. Step 6: Final answer
    x = 45.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.