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Finding the Fourth Proportional to 114.68, 156.89 and 114.19

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Solution

The fourth proportional to 114.68, 156.89 and 114.19 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.68 : 156.89 = 114.19 : x
  2. Step 2: Convert to fraction form
    114.68/156.89 = 114.19/x
  3. Step 3: Cross multiply
    114.68x = 156.89 × 114.19
  4. Step 4: Simplify right side
    114.68x = 17,914.59
  5. Step 5: Solve for x
    x = 17,914.59/114.68
  6. Step 6: Final answer
    x = 156.22

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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.