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Finding the Fourth Proportional to 355.69, 533.54 and 209.51

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Solution

The fourth proportional to 355.69, 533.54 and 209.51 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.69 : 533.54 = 209.51 : x
  2. Step 2: Convert to fraction form
    355.69/533.54 = 209.51/x
  3. Step 3: Cross multiply
    355.69x = 533.54 × 209.51
  4. Step 4: Simplify right side
    355.69x = 111,781.97
  5. Step 5: Solve for x
    x = 111,781.97/355.69
  6. Step 6: Final answer
    x = 314.27

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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.