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Finding the Fourth Proportional to 383.04, 574.83 and 207.54

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Solution

The fourth proportional to 383.04, 574.83 and 207.54 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 574.83 = 207.54 : x
  2. Step 2: Convert to fraction form
    383.04/574.83 = 207.54/x
  3. Step 3: Cross multiply
    383.04x = 574.83 × 207.54
  4. Step 4: Simplify right side
    383.04x = 119,300.22
  5. Step 5: Solve for x
    x = 119,300.22/383.04
  6. Step 6: Final answer
    x = 311.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.