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Finding the Fourth Proportional to 485.25, 727.68 and 192.72

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Solution

The fourth proportional to 485.25, 727.68 and 192.72 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.25 : 727.68 = 192.72 : x
  2. Step 2: Convert to fraction form
    485.25/727.68 = 192.72/x
  3. Step 3: Cross multiply
    485.25x = 727.68 × 192.72
  4. Step 4: Simplify right side
    485.25x = 140,238.49
  5. Step 5: Solve for x
    x = 140,238.49/485.25
  6. Step 6: Final answer
    x = 289.00

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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.