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Finding the Fourth Proportional to 116.40, 159.58 and 114.36

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Solution

The fourth proportional to 116.40, 159.58 and 114.36 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 159.58 = 114.36 : x
  2. Step 2: Convert to fraction form
    116.40/159.58 = 114.36/x
  3. Step 3: Cross multiply
    116.40x = 159.58 × 114.36
  4. Step 4: Simplify right side
    116.40x = 18,249.57
  5. Step 5: Solve for x
    x = 18,249.57/116.40
  6. Step 6: Final answer
    x = 156.78

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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.