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Finding the Fourth Proportional to 321.70, 438.06 and 321.70

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Solution

The fourth proportional to 321.70, 438.06 and 321.70 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 438.06 = 321.70 : x
  2. Step 2: Convert to fraction form
    321.70/438.06 = 321.70/x
  3. Step 3: Cross multiply
    321.70x = 438.06 × 321.70
  4. Step 4: Simplify right side
    321.70x = 140,923.90
  5. Step 5: Solve for x
    x = 140,923.90/321.70
  6. Step 6: Final answer
    x = 438.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.