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Finding the Fourth Proportional to 383.12, 577.87 and 338.04

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Solution

The fourth proportional to 383.12, 577.87 and 338.04 is: 509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 577.87 = 338.04 : x
  2. Step 2: Convert to fraction form
    383.12/577.87 = 338.04/x
  3. Step 3: Cross multiply
    383.12x = 577.87 × 338.04
  4. Step 4: Simplify right side
    383.12x = 195,343.17
  5. Step 5: Solve for x
    x = 195,343.17/383.12
  6. Step 6: Final answer
    x = 509.87

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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.