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Finding the Fourth Proportional to 213.53, 294.73 and 125.03

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Solution

The fourth proportional to 213.53, 294.73 and 125.03 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 294.73 = 125.03 : x
  2. Step 2: Convert to fraction form
    213.53/294.73 = 125.03/x
  3. Step 3: Cross multiply
    213.53x = 294.73 × 125.03
  4. Step 4: Simplify right side
    213.53x = 36,849.21
  5. Step 5: Solve for x
    x = 36,849.21/213.53
  6. Step 6: Final answer
    x = 172.57

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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.