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Finding the Fourth Proportional to 642.94, 964.31 and 180.67

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Solution

The fourth proportional to 642.94, 964.31 and 180.67 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 964.31 = 180.67 : x
  2. Step 2: Convert to fraction form
    642.94/964.31 = 180.67/x
  3. Step 3: Cross multiply
    642.94x = 964.31 × 180.67
  4. Step 4: Simplify right side
    642.94x = 174,221.89
  5. Step 5: Solve for x
    x = 174,221.89/642.94
  6. Step 6: Final answer
    x = 270.98

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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.