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Finding the Fourth Proportional to 263.63, 394.06 and 186.08

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Solution

The fourth proportional to 263.63, 394.06 and 186.08 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 394.06 = 186.08 : x
  2. Step 2: Convert to fraction form
    263.63/394.06 = 186.08/x
  3. Step 3: Cross multiply
    263.63x = 394.06 × 186.08
  4. Step 4: Simplify right side
    263.63x = 73,326.68
  5. Step 5: Solve for x
    x = 73,326.68/263.63
  6. Step 6: Final answer
    x = 278.14

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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.