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Finding the Fourth Proportional to 484.56, 728.10 and 268.32

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Solution

The fourth proportional to 484.56, 728.10 and 268.32 is: 403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 728.10 = 268.32 : x
  2. Step 2: Convert to fraction form
    484.56/728.10 = 268.32/x
  3. Step 3: Cross multiply
    484.56x = 728.10 × 268.32
  4. Step 4: Simplify right side
    484.56x = 195,363.79
  5. Step 5: Solve for x
    x = 195,363.79/484.56
  6. Step 6: Final answer
    x = 403.18

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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.