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Finding the Fourth Proportional to 383.11, 571.52 and 342.12

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Solution

The fourth proportional to 383.11, 571.52 and 342.12 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.11 : 571.52 = 342.12 : x
  2. Step 2: Convert to fraction form
    383.11/571.52 = 342.12/x
  3. Step 3: Cross multiply
    383.11x = 571.52 × 342.12
  4. Step 4: Simplify right side
    383.11x = 195,528.42
  5. Step 5: Solve for x
    x = 195,528.42/383.11
  6. Step 6: Final answer
    x = 510.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.