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Finding the Fourth Proportional to 436.96, 655.80 and 193.68

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Solution

The fourth proportional to 436.96, 655.80 and 193.68 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.96 : 655.80 = 193.68 : x
  2. Step 2: Convert to fraction form
    436.96/655.80 = 193.68/x
  3. Step 3: Cross multiply
    436.96x = 655.80 × 193.68
  4. Step 4: Simplify right side
    436.96x = 127,015.34
  5. Step 5: Solve for x
    x = 127,015.34/436.96
  6. Step 6: Final answer
    x = 290.68

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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.