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Finding the Fourth Proportional to 346.88, 519.64 and 164.05

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Solution

The fourth proportional to 346.88, 519.64 and 164.05 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.88 : 519.64 = 164.05 : x
  2. Step 2: Convert to fraction form
    346.88/519.64 = 164.05/x
  3. Step 3: Cross multiply
    346.88x = 519.64 × 164.05
  4. Step 4: Simplify right side
    346.88x = 85,246.94
  5. Step 5: Solve for x
    x = 85,246.94/346.88
  6. Step 6: Final answer
    x = 245.75

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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.