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Finding the Fourth Proportional to 445.55, 614.13 and 321.04

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Solution

The fourth proportional to 445.55, 614.13 and 321.04 is: 442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.55 : 614.13 = 321.04 : x
  2. Step 2: Convert to fraction form
    445.55/614.13 = 321.04/x
  3. Step 3: Cross multiply
    445.55x = 614.13 × 321.04
  4. Step 4: Simplify right side
    445.55x = 197,157.22
  5. Step 5: Solve for x
    x = 197,157.22/445.55
  6. Step 6: Final answer
    x = 442.50

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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.