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Finding the Fourth Proportional to 235.70, 325.11 and 186.50

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Solution

The fourth proportional to 235.70, 325.11 and 186.50 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.70 : 325.11 = 186.50 : x
  2. Step 2: Convert to fraction form
    235.70/325.11 = 186.50/x
  3. Step 3: Cross multiply
    235.70x = 325.11 × 186.50
  4. Step 4: Simplify right side
    235.70x = 60,633.02
  5. Step 5: Solve for x
    x = 60,633.02/235.70
  6. Step 6: Final answer
    x = 257.25

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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.