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Finding the Fourth Proportional to 114.35, 158.09 and 109.49

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Solution

The fourth proportional to 114.35, 158.09 and 109.49 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 158.09 = 109.49 : x
  2. Step 2: Convert to fraction form
    114.35/158.09 = 109.49/x
  3. Step 3: Cross multiply
    114.35x = 158.09 × 109.49
  4. Step 4: Simplify right side
    114.35x = 17,307.94
  5. Step 5: Solve for x
    x = 17,307.94/114.35
  6. Step 6: Final answer
    x = 151.37

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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.