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Finding the Fourth Proportional to 54.71, 75.27 and 48.46

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Solution

The fourth proportional to 54.71, 75.27 and 48.46 is: 66.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 75.27 = 48.46 : x
  2. Step 2: Convert to fraction form
    54.71/75.27 = 48.46/x
  3. Step 3: Cross multiply
    54.71x = 75.27 × 48.46
  4. Step 4: Simplify right side
    54.71x = 3,647.58
  5. Step 5: Solve for x
    x = 3,647.58/54.71
  6. Step 6: Final answer
    x = 66.67

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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.