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Finding the Fourth Proportional to 440.03, 659.32 and 266.75

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Solution

The fourth proportional to 440.03, 659.32 and 266.75 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.03 : 659.32 = 266.75 : x
  2. Step 2: Convert to fraction form
    440.03/659.32 = 266.75/x
  3. Step 3: Cross multiply
    440.03x = 659.32 × 266.75
  4. Step 4: Simplify right side
    440.03x = 175,869.98
  5. Step 5: Solve for x
    x = 175,869.98/440.03
  6. Step 6: Final answer
    x = 399.67

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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.