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Finding the Fourth Proportional to 54.76, 75.57 and 35.09

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Solution

The fourth proportional to 54.76, 75.57 and 35.09 is: 48.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 75.57 = 35.09 : x
  2. Step 2: Convert to fraction form
    54.76/75.57 = 35.09/x
  3. Step 3: Cross multiply
    54.76x = 75.57 × 35.09
  4. Step 4: Simplify right side
    54.76x = 2,651.75
  5. Step 5: Solve for x
    x = 2,651.75/54.76
  6. Step 6: Final answer
    x = 48.42

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Find fourth proportional to 27.38, 37.79 and 17.55
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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.