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Finding the Fourth Proportional to 309.27, 463.60 and 126.48

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Solution

The fourth proportional to 309.27, 463.60 and 126.48 is: 189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.27 : 463.60 = 126.48 : x
  2. Step 2: Convert to fraction form
    309.27/463.60 = 126.48/x
  3. Step 3: Cross multiply
    309.27x = 463.60 × 126.48
  4. Step 4: Simplify right side
    309.27x = 58,636.13
  5. Step 5: Solve for x
    x = 58,636.13/309.27
  6. Step 6: Final answer
    x = 189.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.