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Finding the Fourth Proportional to 188.86, 281.36 and 180.16

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Solution

The fourth proportional to 188.86, 281.36 and 180.16 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 281.36 = 180.16 : x
  2. Step 2: Convert to fraction form
    188.86/281.36 = 180.16/x
  3. Step 3: Cross multiply
    188.86x = 281.36 × 180.16
  4. Step 4: Simplify right side
    188.86x = 50,689.82
  5. Step 5: Solve for x
    x = 50,689.82/188.86
  6. Step 6: Final answer
    x = 268.40

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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.