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Finding the Fourth Proportional to 495.92, 744.29 and 188.09

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Solution

The fourth proportional to 495.92, 744.29 and 188.09 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 744.29 = 188.09 : x
  2. Step 2: Convert to fraction form
    495.92/744.29 = 188.09/x
  3. Step 3: Cross multiply
    495.92x = 744.29 × 188.09
  4. Step 4: Simplify right side
    495.92x = 139,992.34
  5. Step 5: Solve for x
    x = 139,992.34/495.92
  6. Step 6: Final answer
    x = 282.29

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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.