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Finding the Fourth Proportional to 383.46, 577.78 and 316.49

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Solution

The fourth proportional to 383.46, 577.78 and 316.49 is: 476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 577.78 = 316.49 : x
  2. Step 2: Convert to fraction form
    383.46/577.78 = 316.49/x
  3. Step 3: Cross multiply
    383.46x = 577.78 × 316.49
  4. Step 4: Simplify right side
    383.46x = 182,857.91
  5. Step 5: Solve for x
    x = 182,857.91/383.46
  6. Step 6: Final answer
    x = 476.86

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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.