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Finding the Fourth Proportional to 188.10, 257.45 and 183.56

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Solution

The fourth proportional to 188.10, 257.45 and 183.56 is: 251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 257.45 = 183.56 : x
  2. Step 2: Convert to fraction form
    188.10/257.45 = 183.56/x
  3. Step 3: Cross multiply
    188.10x = 257.45 × 183.56
  4. Step 4: Simplify right side
    188.10x = 47,255.32
  5. Step 5: Solve for x
    x = 47,255.32/188.10
  6. Step 6: Final answer
    x = 251.22

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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.