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Finding the Fourth Proportional to 305.61, 421.56 and 188.97

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Solution

The fourth proportional to 305.61, 421.56 and 188.97 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.61 : 421.56 = 188.97 : x
  2. Step 2: Convert to fraction form
    305.61/421.56 = 188.97/x
  3. Step 3: Cross multiply
    305.61x = 421.56 × 188.97
  4. Step 4: Simplify right side
    305.61x = 79,662.19
  5. Step 5: Solve for x
    x = 79,662.19/305.61
  6. Step 6: Final answer
    x = 260.67

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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.