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Finding the Fourth Proportional to 82.86, 114.26 and 64.43

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Solution

The fourth proportional to 82.86, 114.26 and 64.43 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.86 : 114.26 = 64.43 : x
  2. Step 2: Convert to fraction form
    82.86/114.26 = 64.43/x
  3. Step 3: Cross multiply
    82.86x = 114.26 × 64.43
  4. Step 4: Simplify right side
    82.86x = 7,361.67
  5. Step 5: Solve for x
    x = 7,361.67/82.86
  6. Step 6: Final answer
    x = 88.85

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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.