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Finding the Fourth Proportional to 307.28, 460.56 and 256.04

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Solution

The fourth proportional to 307.28, 460.56 and 256.04 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 460.56 = 256.04 : x
  2. Step 2: Convert to fraction form
    307.28/460.56 = 256.04/x
  3. Step 3: Cross multiply
    307.28x = 460.56 × 256.04
  4. Step 4: Simplify right side
    307.28x = 117,921.78
  5. Step 5: Solve for x
    x = 117,921.78/307.28
  6. Step 6: Final answer
    x = 383.76

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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.