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Finding the Fourth Proportional to 486.37, 728.40 and 266.67

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Solution

The fourth proportional to 486.37, 728.40 and 266.67 is: 399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.37 : 728.40 = 266.67 : x
  2. Step 2: Convert to fraction form
    486.37/728.40 = 266.67/x
  3. Step 3: Cross multiply
    486.37x = 728.40 × 266.67
  4. Step 4: Simplify right side
    486.37x = 194,242.43
  5. Step 5: Solve for x
    x = 194,242.43/486.37
  6. Step 6: Final answer
    x = 399.37

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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.