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Finding the Fourth Proportional to 306.07, 458.67 and 143.41

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Solution

The fourth proportional to 306.07, 458.67 and 143.41 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.07 : 458.67 = 143.41 : x
  2. Step 2: Convert to fraction form
    306.07/458.67 = 143.41/x
  3. Step 3: Cross multiply
    306.07x = 458.67 × 143.41
  4. Step 4: Simplify right side
    306.07x = 65,777.86
  5. Step 5: Solve for x
    x = 65,777.86/306.07
  6. Step 6: Final answer
    x = 214.91

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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.