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Finding the Fourth Proportional to 484.91, 727.16 and 188.38

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Solution

The fourth proportional to 484.91, 727.16 and 188.38 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.91 : 727.16 = 188.38 : x
  2. Step 2: Convert to fraction form
    484.91/727.16 = 188.38/x
  3. Step 3: Cross multiply
    484.91x = 727.16 × 188.38
  4. Step 4: Simplify right side
    484.91x = 136,977.82
  5. Step 5: Solve for x
    x = 136,977.82/484.91
  6. Step 6: Final answer
    x = 282.48

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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.