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Finding the Fourth Proportional to 346.16, 518.70 and 209.04

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Solution

The fourth proportional to 346.16, 518.70 and 209.04 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 518.70 = 209.04 : x
  2. Step 2: Convert to fraction form
    346.16/518.70 = 209.04/x
  3. Step 3: Cross multiply
    346.16x = 518.70 × 209.04
  4. Step 4: Simplify right side
    346.16x = 108,429.05
  5. Step 5: Solve for x
    x = 108,429.05/346.16
  6. Step 6: Final answer
    x = 313.23

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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.