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Finding the Fourth Proportional to 188.08, 259.41 and 172.59

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Solution

The fourth proportional to 188.08, 259.41 and 172.59 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.08 : 259.41 = 172.59 : x
  2. Step 2: Convert to fraction form
    188.08/259.41 = 172.59/x
  3. Step 3: Cross multiply
    188.08x = 259.41 × 172.59
  4. Step 4: Simplify right side
    188.08x = 44,771.25
  5. Step 5: Solve for x
    x = 44,771.25/188.08
  6. Step 6: Final answer
    x = 238.05

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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.