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Finding the Fourth Proportional to 484.58, 727.18 and 268.31

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Solution

The fourth proportional to 484.58, 727.18 and 268.31 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.58 : 727.18 = 268.31 : x
  2. Step 2: Convert to fraction form
    484.58/727.18 = 268.31/x
  3. Step 3: Cross multiply
    484.58x = 727.18 × 268.31
  4. Step 4: Simplify right side
    484.58x = 195,110.81
  5. Step 5: Solve for x
    x = 195,110.81/484.58
  6. Step 6: Final answer
    x = 402.64

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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.