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Finding the Fourth Proportional to 54.19, 74.67 and 49.53

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Solution

The fourth proportional to 54.19, 74.67 and 49.53 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 74.67 = 49.53 : x
  2. Step 2: Convert to fraction form
    54.19/74.67 = 49.53/x
  3. Step 3: Cross multiply
    54.19x = 74.67 × 49.53
  4. Step 4: Simplify right side
    54.19x = 3,698.41
  5. Step 5: Solve for x
    x = 3,698.41/54.19
  6. Step 6: Final answer
    x = 68.25

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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.