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Finding the Fourth Proportional to 307.04, 458.41 and 255.76

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Solution

The fourth proportional to 307.04, 458.41 and 255.76 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.04 : 458.41 = 255.76 : x
  2. Step 2: Convert to fraction form
    307.04/458.41 = 255.76/x
  3. Step 3: Cross multiply
    307.04x = 458.41 × 255.76
  4. Step 4: Simplify right side
    307.04x = 117,241.64
  5. Step 5: Solve for x
    x = 117,241.64/307.04
  6. Step 6: Final answer
    x = 381.84

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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.