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Finding the Fourth Proportional to 377.22, 520.58 and 209.19

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Solution

The fourth proportional to 377.22, 520.58 and 209.19 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 520.58 = 209.19 : x
  2. Step 2: Convert to fraction form
    377.22/520.58 = 209.19/x
  3. Step 3: Cross multiply
    377.22x = 520.58 × 209.19
  4. Step 4: Simplify right side
    377.22x = 108,900.13
  5. Step 5: Solve for x
    x = 108,900.13/377.22
  6. Step 6: Final answer
    x = 288.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.