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Finding the Fourth Proportional to 484.73, 727.13 and 138.10

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Solution

The fourth proportional to 484.73, 727.13 and 138.10 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.73 : 727.13 = 138.10 : x
  2. Step 2: Convert to fraction form
    484.73/727.13 = 138.10/x
  3. Step 3: Cross multiply
    484.73x = 727.13 × 138.10
  4. Step 4: Simplify right side
    484.73x = 100,415.18
  5. Step 5: Solve for x
    x = 100,415.18/484.73
  6. Step 6: Final answer
    x = 207.16

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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.