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Finding the Fourth Proportional to 346.96, 517.91 and 321.24

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Solution

The fourth proportional to 346.96, 517.91 and 321.24 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 517.91 = 321.24 : x
  2. Step 2: Convert to fraction form
    346.96/517.91 = 321.24/x
  3. Step 3: Cross multiply
    346.96x = 517.91 × 321.24
  4. Step 4: Simplify right side
    346.96x = 166,373.41
  5. Step 5: Solve for x
    x = 166,373.41/346.96
  6. Step 6: Final answer
    x = 479.52

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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.