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Finding the Fourth Proportional to 113.93, 157.29 and 82.81

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Solution

The fourth proportional to 113.93, 157.29 and 82.81 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.93 : 157.29 = 82.81 : x
  2. Step 2: Convert to fraction form
    113.93/157.29 = 82.81/x
  3. Step 3: Cross multiply
    113.93x = 157.29 × 82.81
  4. Step 4: Simplify right side
    113.93x = 13,025.07
  5. Step 5: Solve for x
    x = 13,025.07/113.93
  6. Step 6: Final answer
    x = 114.33

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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.