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Finding the Fourth Proportional to 188.15, 280.68 and 185.72

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Solution

The fourth proportional to 188.15, 280.68 and 185.72 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.15 : 280.68 = 185.72 : x
  2. Step 2: Convert to fraction form
    188.15/280.68 = 185.72/x
  3. Step 3: Cross multiply
    188.15x = 280.68 × 185.72
  4. Step 4: Simplify right side
    188.15x = 52,125.79
  5. Step 5: Solve for x
    x = 52,125.79/188.15
  6. Step 6: Final answer
    x = 277.05

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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.