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Finding the Fourth Proportional to 428.41, 642.62 and 185.11

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Solution

The fourth proportional to 428.41, 642.62 and 185.11 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.41 : 642.62 = 185.11 : x
  2. Step 2: Convert to fraction form
    428.41/642.62 = 185.11/x
  3. Step 3: Cross multiply
    428.41x = 642.62 × 185.11
  4. Step 4: Simplify right side
    428.41x = 118,955.79
  5. Step 5: Solve for x
    x = 118,955.79/428.41
  6. Step 6: Final answer
    x = 277.67

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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.