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Finding the Fourth Proportional to 114.03, 156.15 and 109.44

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Solution

The fourth proportional to 114.03, 156.15 and 109.44 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 156.15 = 109.44 : x
  2. Step 2: Convert to fraction form
    114.03/156.15 = 109.44/x
  3. Step 3: Cross multiply
    114.03x = 156.15 × 109.44
  4. Step 4: Simplify right side
    114.03x = 17,089.06
  5. Step 5: Solve for x
    x = 17,089.06/114.03
  6. Step 6: Final answer
    x = 149.86

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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.