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Finding the Fourth Proportional to 344.55, 519.40 and 321.64

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Solution

The fourth proportional to 344.55, 519.40 and 321.64 is: 484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.55 : 519.40 = 321.64 : x
  2. Step 2: Convert to fraction form
    344.55/519.40 = 321.64/x
  3. Step 3: Cross multiply
    344.55x = 519.40 × 321.64
  4. Step 4: Simplify right side
    344.55x = 167,058.46
  5. Step 5: Solve for x
    x = 167,058.46/344.55
  6. Step 6: Final answer
    x = 484.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.