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Finding the Fourth Proportional to 365.08, 503.84 and 209.84

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Solution

The fourth proportional to 365.08, 503.84 and 209.84 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.08 : 503.84 = 209.84 : x
  2. Step 2: Convert to fraction form
    365.08/503.84 = 209.84/x
  3. Step 3: Cross multiply
    365.08x = 503.84 × 209.84
  4. Step 4: Simplify right side
    365.08x = 105,725.79
  5. Step 5: Solve for x
    x = 105,725.79/365.08
  6. Step 6: Final answer
    x = 289.60

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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.