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Finding the Fourth Proportional to 485.04, 727.56 and 138.41

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Solution

The fourth proportional to 485.04, 727.56 and 138.41 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.04 : 727.56 = 138.41 : x
  2. Step 2: Convert to fraction form
    485.04/727.56 = 138.41/x
  3. Step 3: Cross multiply
    485.04x = 727.56 × 138.41
  4. Step 4: Simplify right side
    485.04x = 100,700.89
  5. Step 5: Solve for x
    x = 100,700.89/485.04
  6. Step 6: Final answer
    x = 207.62

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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.