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Finding the Fourth Proportional to 486.44, 728.46 and 294.20

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Solution

The fourth proportional to 486.44, 728.46 and 294.20 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 728.46 = 294.20 : x
  2. Step 2: Convert to fraction form
    486.44/728.46 = 294.20/x
  3. Step 3: Cross multiply
    486.44x = 728.46 × 294.20
  4. Step 4: Simplify right side
    486.44x = 214,312.93
  5. Step 5: Solve for x
    x = 214,312.93/486.44
  6. Step 6: Final answer
    x = 440.57

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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.