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Finding the Fourth Proportional to 373.59, 559.49 and 208.65

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Solution

The fourth proportional to 373.59, 559.49 and 208.65 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.59 : 559.49 = 208.65 : x
  2. Step 2: Convert to fraction form
    373.59/559.49 = 208.65/x
  3. Step 3: Cross multiply
    373.59x = 559.49 × 208.65
  4. Step 4: Simplify right side
    373.59x = 116,736.55
  5. Step 5: Solve for x
    x = 116,736.55/373.59
  6. Step 6: Final answer
    x = 312.47

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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.