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Finding the Fourth Proportional to 306, 457.11 and 251.64

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Solution

The fourth proportional to 306, 457.11 and 251.64 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 457.11 = 251.64 : x
  2. Step 2: Convert to fraction form
    306/457.11 = 251.64/x
  3. Step 3: Cross multiply
    306x = 457.11 × 251.64
  4. Step 4: Simplify right side
    306x = 115,027.16
  5. Step 5: Solve for x
    x = 115,027.16/306
  6. Step 6: Final answer
    x = 375.91

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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.