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Finding the Fourth Proportional to 373.43, 559.76 and 208.86

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Solution

The fourth proportional to 373.43, 559.76 and 208.86 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.43 : 559.76 = 208.86 : x
  2. Step 2: Convert to fraction form
    373.43/559.76 = 208.86/x
  3. Step 3: Cross multiply
    373.43x = 559.76 × 208.86
  4. Step 4: Simplify right side
    373.43x = 116,910.43
  5. Step 5: Solve for x
    x = 116,910.43/373.43
  6. Step 6: Final answer
    x = 313.07

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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.