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Finding the Fourth Proportional to 322.30, 483.58 and 206.87

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Solution

The fourth proportional to 322.30, 483.58 and 206.87 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 483.58 = 206.87 : x
  2. Step 2: Convert to fraction form
    322.30/483.58 = 206.87/x
  3. Step 3: Cross multiply
    322.30x = 483.58 × 206.87
  4. Step 4: Simplify right side
    322.30x = 100,038.19
  5. Step 5: Solve for x
    x = 100,038.19/322.30
  6. Step 6: Final answer
    x = 310.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.