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Finding the Fourth Proportional to 392.95, 589.68 and 271.00

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Solution

The fourth proportional to 392.95, 589.68 and 271.00 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 589.68 = 271.00 : x
  2. Step 2: Convert to fraction form
    392.95/589.68 = 271.00/x
  3. Step 3: Cross multiply
    392.95x = 589.68 × 271.00
  4. Step 4: Simplify right side
    392.95x = 159,800.70
  5. Step 5: Solve for x
    x = 159,800.70/392.95
  6. Step 6: Final answer
    x = 406.67

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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.