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Finding the Fourth Proportional to 383.90, 574.48 and 332.72

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Solution

The fourth proportional to 383.90, 574.48 and 332.72 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.90 : 574.48 = 332.72 : x
  2. Step 2: Convert to fraction form
    383.90/574.48 = 332.72/x
  3. Step 3: Cross multiply
    383.90x = 574.48 × 332.72
  4. Step 4: Simplify right side
    383.90x = 191,140.99
  5. Step 5: Solve for x
    x = 191,140.99/383.90
  6. Step 6: Final answer
    x = 497.89

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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.