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Finding the Fourth Proportional to 187.89, 259.23 and 109.21

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Solution

The fourth proportional to 187.89, 259.23 and 109.21 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.89 : 259.23 = 109.21 : x
  2. Step 2: Convert to fraction form
    187.89/259.23 = 109.21/x
  3. Step 3: Cross multiply
    187.89x = 259.23 × 109.21
  4. Step 4: Simplify right side
    187.89x = 28,310.51
  5. Step 5: Solve for x
    x = 28,310.51/187.89
  6. Step 6: Final answer
    x = 150.68

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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.