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Finding the Fourth Proportional to 309.28, 463.62 and 146.92

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Solution

The fourth proportional to 309.28, 463.62 and 146.92 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 463.62 = 146.92 : x
  2. Step 2: Convert to fraction form
    309.28/463.62 = 146.92/x
  3. Step 3: Cross multiply
    309.28x = 463.62 × 146.92
  4. Step 4: Simplify right side
    309.28x = 68,115.05
  5. Step 5: Solve for x
    x = 68,115.05/309.28
  6. Step 6: Final answer
    x = 220.24

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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.