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Finding the Fourth Proportional to 320.90, 441.02 and 288.50

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Solution

The fourth proportional to 320.90, 441.02 and 288.50 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.90 : 441.02 = 288.50 : x
  2. Step 2: Convert to fraction form
    320.90/441.02 = 288.50/x
  3. Step 3: Cross multiply
    320.90x = 441.02 × 288.50
  4. Step 4: Simplify right side
    320.90x = 127,234.27
  5. Step 5: Solve for x
    x = 127,234.27/320.90
  6. Step 6: Final answer
    x = 396.49

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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.