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Finding the Fourth Proportional to 486.02, 727.47 and 269.06

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Solution

The fourth proportional to 486.02, 727.47 and 269.06 is: 402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 727.47 = 269.06 : x
  2. Step 2: Convert to fraction form
    486.02/727.47 = 269.06/x
  3. Step 3: Cross multiply
    486.02x = 727.47 × 269.06
  4. Step 4: Simplify right side
    486.02x = 195,733.08
  5. Step 5: Solve for x
    x = 195,733.08/486.02
  6. Step 6: Final answer
    x = 402.73

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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.