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Finding the Fourth Proportional to 188.68, 281.98 and 174.09

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Solution

The fourth proportional to 188.68, 281.98 and 174.09 is: 260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.68 : 281.98 = 174.09 : x
  2. Step 2: Convert to fraction form
    188.68/281.98 = 174.09/x
  3. Step 3: Cross multiply
    188.68x = 281.98 × 174.09
  4. Step 4: Simplify right side
    188.68x = 49,089.90
  5. Step 5: Solve for x
    x = 49,089.90/188.68
  6. Step 6: Final answer
    x = 260.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.