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Finding the Fourth Proportional to 306.29, 459.44 and 144.09

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Solution

The fourth proportional to 306.29, 459.44 and 144.09 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 459.44 = 144.09 : x
  2. Step 2: Convert to fraction form
    306.29/459.44 = 144.09/x
  3. Step 3: Cross multiply
    306.29x = 459.44 × 144.09
  4. Step 4: Simplify right side
    306.29x = 66,200.71
  5. Step 5: Solve for x
    x = 66,200.71/306.29
  6. Step 6: Final answer
    x = 216.14

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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.