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Finding the Fourth Proportional to 476.11, 712.59 and 256.42

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Solution

The fourth proportional to 476.11, 712.59 and 256.42 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.11 : 712.59 = 256.42 : x
  2. Step 2: Convert to fraction form
    476.11/712.59 = 256.42/x
  3. Step 3: Cross multiply
    476.11x = 712.59 × 256.42
  4. Step 4: Simplify right side
    476.11x = 182,722.33
  5. Step 5: Solve for x
    x = 182,722.33/476.11
  6. Step 6: Final answer
    x = 383.78

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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.