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Finding the Fourth Proportional to 306.20, 456.81 and 251.93

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Solution

The fourth proportional to 306.20, 456.81 and 251.93 is: 375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 456.81 = 251.93 : x
  2. Step 2: Convert to fraction form
    306.20/456.81 = 251.93/x
  3. Step 3: Cross multiply
    306.20x = 456.81 × 251.93
  4. Step 4: Simplify right side
    306.20x = 115,082.88
  5. Step 5: Solve for x
    x = 115,082.88/306.20
  6. Step 6: Final answer
    x = 375.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.