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Finding the Fourth Proportional to 401.89, 602.84 and 209.89

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Solution

The fourth proportional to 401.89, 602.84 and 209.89 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.89 : 602.84 = 209.89 : x
  2. Step 2: Convert to fraction form
    401.89/602.84 = 209.89/x
  3. Step 3: Cross multiply
    401.89x = 602.84 × 209.89
  4. Step 4: Simplify right side
    401.89x = 126,529.04
  5. Step 5: Solve for x
    x = 126,529.04/401.89
  6. Step 6: Final answer
    x = 314.84

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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.