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Finding the Fourth Proportional to 486.08, 728.74 and 242.43

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Solution

The fourth proportional to 486.08, 728.74 and 242.43 is: 363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.08 : 728.74 = 242.43 : x
  2. Step 2: Convert to fraction form
    486.08/728.74 = 242.43/x
  3. Step 3: Cross multiply
    486.08x = 728.74 × 242.43
  4. Step 4: Simplify right side
    486.08x = 176,668.44
  5. Step 5: Solve for x
    x = 176,668.44/486.08
  6. Step 6: Final answer
    x = 363.46

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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.