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Finding the Fourth Proportional to 445.80, 614.48 and 321.29

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Solution

The fourth proportional to 445.80, 614.48 and 321.29 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.80 : 614.48 = 321.29 : x
  2. Step 2: Convert to fraction form
    445.80/614.48 = 321.29/x
  3. Step 3: Cross multiply
    445.80x = 614.48 × 321.29
  4. Step 4: Simplify right side
    445.80x = 197,421.60
  5. Step 5: Solve for x
    x = 197,421.60/445.80
  6. Step 6: Final answer
    x = 442.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.