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Finding the Fourth Proportional to 76.56, 114.81 and 30.91

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Solution

The fourth proportional to 76.56, 114.81 and 30.91 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.56 : 114.81 = 30.91 : x
  2. Step 2: Convert to fraction form
    76.56/114.81 = 30.91/x
  3. Step 3: Cross multiply
    76.56x = 114.81 × 30.91
  4. Step 4: Simplify right side
    76.56x = 3,548.49
  5. Step 5: Solve for x
    x = 3,548.49/76.56
  6. Step 6: Final answer
    x = 46.35

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Why These Related Problems?

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