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Finding the Fourth Proportional to 346.08, 516.63 and 321.78

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Solution

The fourth proportional to 346.08, 516.63 and 321.78 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 516.63 = 321.78 : x
  2. Step 2: Convert to fraction form
    346.08/516.63 = 321.78/x
  3. Step 3: Cross multiply
    346.08x = 516.63 × 321.78
  4. Step 4: Simplify right side
    346.08x = 166,241.20
  5. Step 5: Solve for x
    x = 166,241.20/346.08
  6. Step 6: Final answer
    x = 480.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.