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Finding the Fourth Proportional to 76.71, 114.96 and 46.25

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Solution

The fourth proportional to 76.71, 114.96 and 46.25 is: 69.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 114.96 = 46.25 : x
  2. Step 2: Convert to fraction form
    76.71/114.96 = 46.25/x
  3. Step 3: Cross multiply
    76.71x = 114.96 × 46.25
  4. Step 4: Simplify right side
    76.71x = 5,316.33
  5. Step 5: Solve for x
    x = 5,316.33/76.71
  6. Step 6: Final answer
    x = 69.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.