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Finding the Fourth Proportional to 355.70, 532.87 and 209.09

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Solution

The fourth proportional to 355.70, 532.87 and 209.09 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 532.87 = 209.09 : x
  2. Step 2: Convert to fraction form
    355.70/532.87 = 209.09/x
  3. Step 3: Cross multiply
    355.70x = 532.87 × 209.09
  4. Step 4: Simplify right side
    355.70x = 111,417.79
  5. Step 5: Solve for x
    x = 111,417.79/355.70
  6. Step 6: Final answer
    x = 313.24

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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.