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Finding the Fourth Proportional to 238.00, 357.23 and 209.53

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Solution

The fourth proportional to 238.00, 357.23 and 209.53 is: 314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.00 : 357.23 = 209.53 : x
  2. Step 2: Convert to fraction form
    238.00/357.23 = 209.53/x
  3. Step 3: Cross multiply
    238.00x = 357.23 × 209.53
  4. Step 4: Simplify right side
    238.00x = 74,847.57
  5. Step 5: Solve for x
    x = 74,847.57/238.00
  6. Step 6: Final answer
    x = 314.49

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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.