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Finding the Fourth Proportional to 82.77, 114.21 and 51.68

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Solution

The fourth proportional to 82.77, 114.21 and 51.68 is: 71.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.77 : 114.21 = 51.68 : x
  2. Step 2: Convert to fraction form
    82.77/114.21 = 51.68/x
  3. Step 3: Cross multiply
    82.77x = 114.21 × 51.68
  4. Step 4: Simplify right side
    82.77x = 5,902.37
  5. Step 5: Solve for x
    x = 5,902.37/82.77
  6. Step 6: Final answer
    x = 71.31

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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.