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Finding the Fourth Proportional to 44.09, 65.87 and 30.54

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Solution

The fourth proportional to 44.09, 65.87 and 30.54 is: 45.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 65.87 = 30.54 : x
  2. Step 2: Convert to fraction form
    44.09/65.87 = 30.54/x
  3. Step 3: Cross multiply
    44.09x = 65.87 × 30.54
  4. Step 4: Simplify right side
    44.09x = 2,011.75
  5. Step 5: Solve for x
    x = 2,011.75/44.09
  6. Step 6: Final answer
    x = 45.63

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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.