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Finding the Fourth Proportional to 320.28, 440.07 and 254.67

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Solution

The fourth proportional to 320.28, 440.07 and 254.67 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.28 : 440.07 = 254.67 : x
  2. Step 2: Convert to fraction form
    320.28/440.07 = 254.67/x
  3. Step 3: Cross multiply
    320.28x = 440.07 × 254.67
  4. Step 4: Simplify right side
    320.28x = 112,070.89
  5. Step 5: Solve for x
    x = 112,070.89/320.28
  6. Step 6: Final answer
    x = 349.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.