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Finding the Fourth Proportional to 306.05, 458.91 and 123.39

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Solution

The fourth proportional to 306.05, 458.91 and 123.39 is: 185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 458.91 = 123.39 : x
  2. Step 2: Convert to fraction form
    306.05/458.91 = 123.39/x
  3. Step 3: Cross multiply
    306.05x = 458.91 × 123.39
  4. Step 4: Simplify right side
    306.05x = 56,624.90
  5. Step 5: Solve for x
    x = 56,624.90/306.05
  6. Step 6: Final answer
    x = 185.02

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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.