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Finding the Fourth Proportional to 486.18, 728.88 and 277.92

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Solution

The fourth proportional to 486.18, 728.88 and 277.92 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.18 : 728.88 = 277.92 : x
  2. Step 2: Convert to fraction form
    486.18/728.88 = 277.92/x
  3. Step 3: Cross multiply
    486.18x = 728.88 × 277.92
  4. Step 4: Simplify right side
    486.18x = 202,570.33
  5. Step 5: Solve for x
    x = 202,570.33/486.18
  6. Step 6: Final answer
    x = 416.66

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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.