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Finding the Fourth Proportional to 375.55, 518.25 and 209.77

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Solution

The fourth proportional to 375.55, 518.25 and 209.77 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.55 : 518.25 = 209.77 : x
  2. Step 2: Convert to fraction form
    375.55/518.25 = 209.77/x
  3. Step 3: Cross multiply
    375.55x = 518.25 × 209.77
  4. Step 4: Simplify right side
    375.55x = 108,712.20
  5. Step 5: Solve for x
    x = 108,712.20/375.55
  6. Step 6: Final answer
    x = 289.48

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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.