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Finding the Fourth Proportional to 187.79, 259.12 and 109.11

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Solution

The fourth proportional to 187.79, 259.12 and 109.11 is: 150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 259.12 = 109.11 : x
  2. Step 2: Convert to fraction form
    187.79/259.12 = 109.11/x
  3. Step 3: Cross multiply
    187.79x = 259.12 × 109.11
  4. Step 4: Simplify right side
    187.79x = 28,272.58
  5. Step 5: Solve for x
    x = 28,272.58/187.79
  6. Step 6: Final answer
    x = 150.55

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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.