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Finding the Fourth Proportional to 346.54, 519.86 and 173.21

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Solution

The fourth proportional to 346.54, 519.86 and 173.21 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.54 : 519.86 = 173.21 : x
  2. Step 2: Convert to fraction form
    346.54/519.86 = 173.21/x
  3. Step 3: Cross multiply
    346.54x = 519.86 × 173.21
  4. Step 4: Simplify right side
    346.54x = 90,044.95
  5. Step 5: Solve for x
    x = 90,044.95/346.54
  6. Step 6: Final answer
    x = 259.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.