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Finding the Fourth Proportional to 114.19, 156.37 and 107.95

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Solution

The fourth proportional to 114.19, 156.37 and 107.95 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 156.37 = 107.95 : x
  2. Step 2: Convert to fraction form
    114.19/156.37 = 107.95/x
  3. Step 3: Cross multiply
    114.19x = 156.37 × 107.95
  4. Step 4: Simplify right side
    114.19x = 16,880.41
  5. Step 5: Solve for x
    x = 16,880.41/114.19
  6. Step 6: Final answer
    x = 147.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.