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Finding the Fourth Proportional to 255.51, 382.86 and 186.93

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Solution

The fourth proportional to 255.51, 382.86 and 186.93 is: 280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.51 : 382.86 = 186.93 : x
  2. Step 2: Convert to fraction form
    255.51/382.86 = 186.93/x
  3. Step 3: Cross multiply
    255.51x = 382.86 × 186.93
  4. Step 4: Simplify right side
    255.51x = 71,568.02
  5. Step 5: Solve for x
    x = 71,568.02/255.51
  6. Step 6: Final answer
    x = 280.10

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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.