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Finding the Fourth Proportional to 76.51, 114.76 and 30.83

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Solution

The fourth proportional to 76.51, 114.76 and 30.83 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 114.76 = 30.83 : x
  2. Step 2: Convert to fraction form
    76.51/114.76 = 30.83/x
  3. Step 3: Cross multiply
    76.51x = 114.76 × 30.83
  4. Step 4: Simplify right side
    76.51x = 3,538.05
  5. Step 5: Solve for x
    x = 3,538.05/76.51
  6. Step 6: Final answer
    x = 46.24

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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.