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Finding the Fourth Proportional to 320.59, 443.24 and 283.67

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Solution

The fourth proportional to 320.59, 443.24 and 283.67 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 443.24 = 283.67 : x
  2. Step 2: Convert to fraction form
    320.59/443.24 = 283.67/x
  3. Step 3: Cross multiply
    320.59x = 443.24 × 283.67
  4. Step 4: Simplify right side
    320.59x = 125,732.98
  5. Step 5: Solve for x
    x = 125,732.98/320.59
  6. Step 6: Final answer
    x = 392.19

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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.