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Finding the Fourth Proportional to 188.03, 259.48 and 105.14

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Solution

The fourth proportional to 188.03, 259.48 and 105.14 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.03 : 259.48 = 105.14 : x
  2. Step 2: Convert to fraction form
    188.03/259.48 = 105.14/x
  3. Step 3: Cross multiply
    188.03x = 259.48 × 105.14
  4. Step 4: Simplify right side
    188.03x = 27,280.93
  5. Step 5: Solve for x
    x = 27,280.93/188.03
  6. Step 6: Final answer
    x = 145.09

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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.