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Finding the Fourth Proportional to 306.42, 459.72 and 144.20

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Solution

The fourth proportional to 306.42, 459.72 and 144.20 is: 216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 459.72 = 144.20 : x
  2. Step 2: Convert to fraction form
    306.42/459.72 = 144.20/x
  3. Step 3: Cross multiply
    306.42x = 459.72 × 144.20
  4. Step 4: Simplify right side
    306.42x = 66,289.33
  5. Step 5: Solve for x
    x = 66,289.33/306.42
  6. Step 6: Final answer
    x = 216.33

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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.