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Finding the Fourth Proportional to 445.68, 614.29 and 321.15

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Solution

The fourth proportional to 445.68, 614.29 and 321.15 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 614.29 = 321.15 : x
  2. Step 2: Convert to fraction form
    445.68/614.29 = 321.15/x
  3. Step 3: Cross multiply
    445.68x = 614.29 × 321.15
  4. Step 4: Simplify right side
    445.68x = 197,279.23
  5. Step 5: Solve for x
    x = 197,279.23/445.68
  6. Step 6: Final answer
    x = 442.65

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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.