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Finding the Fourth Proportional to 355.07, 531.84 and 208.67

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Solution

The fourth proportional to 355.07, 531.84 and 208.67 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 531.84 = 208.67 : x
  2. Step 2: Convert to fraction form
    355.07/531.84 = 208.67/x
  3. Step 3: Cross multiply
    355.07x = 531.84 × 208.67
  4. Step 4: Simplify right side
    355.07x = 110,976.39
  5. Step 5: Solve for x
    x = 110,976.39/355.07
  6. Step 6: Final answer
    x = 312.55

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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.