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Finding the Fourth Proportional to 346.93, 520.03 and 164.19

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Solution

The fourth proportional to 346.93, 520.03 and 164.19 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.93 : 520.03 = 164.19 : x
  2. Step 2: Convert to fraction form
    346.93/520.03 = 164.19/x
  3. Step 3: Cross multiply
    346.93x = 520.03 × 164.19
  4. Step 4: Simplify right side
    346.93x = 85,383.73
  5. Step 5: Solve for x
    x = 85,383.73/346.93
  6. Step 6: Final answer
    x = 246.11

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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.