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Finding the Fourth Proportional to 54.07, 74.42 and 49.89

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Solution

The fourth proportional to 54.07, 74.42 and 49.89 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 74.42 = 49.89 : x
  2. Step 2: Convert to fraction form
    54.07/74.42 = 49.89/x
  3. Step 3: Cross multiply
    54.07x = 74.42 × 49.89
  4. Step 4: Simplify right side
    54.07x = 3,712.56
  5. Step 5: Solve for x
    x = 3,712.56/54.07
  6. Step 6: Final answer
    x = 68.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.