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Finding the Fourth Proportional to 325.41, 487.73 and 188.40

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Solution

The fourth proportional to 325.41, 487.73 and 188.40 is: 282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.41 : 487.73 = 188.40 : x
  2. Step 2: Convert to fraction form
    325.41/487.73 = 188.40/x
  3. Step 3: Cross multiply
    325.41x = 487.73 × 188.40
  4. Step 4: Simplify right side
    325.41x = 91,888.33
  5. Step 5: Solve for x
    x = 91,888.33/325.41
  6. Step 6: Final answer
    x = 282.38

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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.