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Finding the Fourth Proportional to 320.50, 441.36 and 283.48

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Solution

The fourth proportional to 320.50, 441.36 and 283.48 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 441.36 = 283.48 : x
  2. Step 2: Convert to fraction form
    320.50/441.36 = 283.48/x
  3. Step 3: Cross multiply
    320.50x = 441.36 × 283.48
  4. Step 4: Simplify right side
    320.50x = 125,116.73
  5. Step 5: Solve for x
    x = 125,116.73/320.50
  6. Step 6: Final answer
    x = 390.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.