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Finding the Fourth Proportional to 188.91, 260.63 and 123.45

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Solution

The fourth proportional to 188.91, 260.63 and 123.45 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.91 : 260.63 = 123.45 : x
  2. Step 2: Convert to fraction form
    188.91/260.63 = 123.45/x
  3. Step 3: Cross multiply
    188.91x = 260.63 × 123.45
  4. Step 4: Simplify right side
    188.91x = 32,175.94
  5. Step 5: Solve for x
    x = 32,175.94/188.91
  6. Step 6: Final answer
    x = 170.32

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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.