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Finding the Fourth Proportional to 321.70, 482.56 and 78.23

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Solution

The fourth proportional to 321.70, 482.56 and 78.23 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 482.56 = 78.23 : x
  2. Step 2: Convert to fraction form
    321.70/482.56 = 78.23/x
  3. Step 3: Cross multiply
    321.70x = 482.56 × 78.23
  4. Step 4: Simplify right side
    321.70x = 37,747.86
  5. Step 5: Solve for x
    x = 37,747.86/321.70
  6. Step 6: Final answer
    x = 117.34

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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.