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Finding the Fourth Proportional to 235.59, 324.41 and 186.45

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Solution

The fourth proportional to 235.59, 324.41 and 186.45 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.59 : 324.41 = 186.45 : x
  2. Step 2: Convert to fraction form
    235.59/324.41 = 186.45/x
  3. Step 3: Cross multiply
    235.59x = 324.41 × 186.45
  4. Step 4: Simplify right side
    235.59x = 60,485.31
  5. Step 5: Solve for x
    x = 60,485.31/235.59
  6. Step 6: Final answer
    x = 256.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.