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Finding the Fourth Proportional to 486.07, 728.97 and 193.57

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Solution

The fourth proportional to 486.07, 728.97 and 193.57 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.07 : 728.97 = 193.57 : x
  2. Step 2: Convert to fraction form
    486.07/728.97 = 193.57/x
  3. Step 3: Cross multiply
    486.07x = 728.97 × 193.57
  4. Step 4: Simplify right side
    486.07x = 141,106.72
  5. Step 5: Solve for x
    x = 141,106.72/486.07
  6. Step 6: Final answer
    x = 290.30

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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.