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Finding the Fourth Proportional to 401.85, 602.66 and 209.37

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Solution

The fourth proportional to 401.85, 602.66 and 209.37 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.85 : 602.66 = 209.37 : x
  2. Step 2: Convert to fraction form
    401.85/602.66 = 209.37/x
  3. Step 3: Cross multiply
    401.85x = 602.66 × 209.37
  4. Step 4: Simplify right side
    401.85x = 126,177.88
  5. Step 5: Solve for x
    x = 126,177.88/401.85
  6. Step 6: Final answer
    x = 313.99

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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.