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Finding the Fourth Proportional to 255.31, 382.55 and 186.86

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Solution

The fourth proportional to 255.31, 382.55 and 186.86 is: 279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.31 : 382.55 = 186.86 : x
  2. Step 2: Convert to fraction form
    255.31/382.55 = 186.86/x
  3. Step 3: Cross multiply
    255.31x = 382.55 × 186.86
  4. Step 4: Simplify right side
    255.31x = 71,483.32
  5. Step 5: Solve for x
    x = 71,483.32/255.31
  6. Step 6: Final answer
    x = 279.99

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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.