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Finding the Fourth Proportional to 375.29, 517.89 and 209.47

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Solution

The fourth proportional to 375.29, 517.89 and 209.47 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.29 : 517.89 = 209.47 : x
  2. Step 2: Convert to fraction form
    375.29/517.89 = 209.47/x
  3. Step 3: Cross multiply
    375.29x = 517.89 × 209.47
  4. Step 4: Simplify right side
    375.29x = 108,482.42
  5. Step 5: Solve for x
    x = 108,482.42/375.29
  6. Step 6: Final answer
    x = 289.06

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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.