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Finding the Fourth Proportional to 188.74, 260.21 and 123.13

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Solution

The fourth proportional to 188.74, 260.21 and 123.13 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 260.21 = 123.13 : x
  2. Step 2: Convert to fraction form
    188.74/260.21 = 123.13/x
  3. Step 3: Cross multiply
    188.74x = 260.21 × 123.13
  4. Step 4: Simplify right side
    188.74x = 32,037.74
  5. Step 5: Solve for x
    x = 32,037.74/188.74
  6. Step 6: Final answer
    x = 169.75

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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.