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Finding the Fourth Proportional to 355.86, 491.09 and 208.53

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Solution

The fourth proportional to 355.86, 491.09 and 208.53 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 491.09 = 208.53 : x
  2. Step 2: Convert to fraction form
    355.86/491.09 = 208.53/x
  3. Step 3: Cross multiply
    355.86x = 491.09 × 208.53
  4. Step 4: Simplify right side
    355.86x = 102,405.96
  5. Step 5: Solve for x
    x = 102,405.96/355.86
  6. Step 6: Final answer
    x = 287.77

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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.