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Finding the Fourth Proportional to 306.64, 459.86 and 144.22

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Solution

The fourth proportional to 306.64, 459.86 and 144.22 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.86 = 144.22 : x
  2. Step 2: Convert to fraction form
    306.64/459.86 = 144.22/x
  3. Step 3: Cross multiply
    306.64x = 459.86 × 144.22
  4. Step 4: Simplify right side
    306.64x = 66,321.01
  5. Step 5: Solve for x
    x = 66,321.01/306.64
  6. Step 6: Final answer
    x = 216.28

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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.