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Finding the Fourth Proportional to 383.59, 577.64 and 276.13

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Solution

The fourth proportional to 383.59, 577.64 and 276.13 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.59 : 577.64 = 276.13 : x
  2. Step 2: Convert to fraction form
    383.59/577.64 = 276.13/x
  3. Step 3: Cross multiply
    383.59x = 577.64 × 276.13
  4. Step 4: Simplify right side
    383.59x = 159,503.73
  5. Step 5: Solve for x
    x = 159,503.73/383.59
  6. Step 6: Final answer
    x = 415.82

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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.