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Finding the Fourth Proportional to 316.64, 476.82 and 276.54

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Solution

The fourth proportional to 316.64, 476.82 and 276.54 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.64 : 476.82 = 276.54 : x
  2. Step 2: Convert to fraction form
    316.64/476.82 = 276.54/x
  3. Step 3: Cross multiply
    316.64x = 476.82 × 276.54
  4. Step 4: Simplify right side
    316.64x = 131,858.77
  5. Step 5: Solve for x
    x = 131,858.77/316.64
  6. Step 6: Final answer
    x = 416.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.