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Finding the Fourth Proportional to 188.26, 259.80 and 110.64

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Solution

The fourth proportional to 188.26, 259.80 and 110.64 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.26 : 259.80 = 110.64 : x
  2. Step 2: Convert to fraction form
    188.26/259.80 = 110.64/x
  3. Step 3: Cross multiply
    188.26x = 259.80 × 110.64
  4. Step 4: Simplify right side
    188.26x = 28,744.27
  5. Step 5: Solve for x
    x = 28,744.27/188.26
  6. Step 6: Final answer
    x = 152.68

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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.