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Finding the Fourth Proportional to 188.30, 258.64 and 155.48

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Solution

The fourth proportional to 188.30, 258.64 and 155.48 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.30 : 258.64 = 155.48 : x
  2. Step 2: Convert to fraction form
    188.30/258.64 = 155.48/x
  3. Step 3: Cross multiply
    188.30x = 258.64 × 155.48
  4. Step 4: Simplify right side
    188.30x = 40,213.35
  5. Step 5: Solve for x
    x = 40,213.35/188.30
  6. Step 6: Final answer
    x = 213.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.