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Finding the Fourth Proportional to 283.23, 423.29 and 206.35

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Solution

The fourth proportional to 283.23, 423.29 and 206.35 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 423.29 = 206.35 : x
  2. Step 2: Convert to fraction form
    283.23/423.29 = 206.35/x
  3. Step 3: Cross multiply
    283.23x = 423.29 × 206.35
  4. Step 4: Simplify right side
    283.23x = 87,345.35
  5. Step 5: Solve for x
    x = 87,345.35/283.23
  6. Step 6: Final answer
    x = 308.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.