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Finding the Fourth Proportional to 321.30, 461.70 and 321.30

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Solution

The fourth proportional to 321.30, 461.70 and 321.30 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 461.70 = 321.30 : x
  2. Step 2: Convert to fraction form
    321.30/461.70 = 321.30/x
  3. Step 3: Cross multiply
    321.30x = 461.70 × 321.30
  4. Step 4: Simplify right side
    321.30x = 148,344.21
  5. Step 5: Solve for x
    x = 148,344.21/321.30
  6. Step 6: Final answer
    x = 461.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.