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Finding the Fourth Proportional to 628.93, 943.53 and 196.12

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Solution

The fourth proportional to 628.93, 943.53 and 196.12 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.93 : 943.53 = 196.12 : x
  2. Step 2: Convert to fraction form
    628.93/943.53 = 196.12/x
  3. Step 3: Cross multiply
    628.93x = 943.53 × 196.12
  4. Step 4: Simplify right side
    628.93x = 185,045.10
  5. Step 5: Solve for x
    x = 185,045.10/628.93
  6. Step 6: Final answer
    x = 294.22

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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.