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Finding the Fourth Proportional to 552.14, 828.20 and 186.93

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Solution

The fourth proportional to 552.14, 828.20 and 186.93 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 828.20 = 186.93 : x
  2. Step 2: Convert to fraction form
    552.14/828.20 = 186.93/x
  3. Step 3: Cross multiply
    552.14x = 828.20 × 186.93
  4. Step 4: Simplify right side
    552.14x = 154,815.89
  5. Step 5: Solve for x
    x = 154,815.89/552.14
  6. Step 6: Final answer
    x = 280.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.