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Finding the Fourth Proportional to 383.52, 572.56 and 332.56

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Solution

The fourth proportional to 383.52, 572.56 and 332.56 is: 496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 572.56 = 332.56 : x
  2. Step 2: Convert to fraction form
    383.52/572.56 = 332.56/x
  3. Step 3: Cross multiply
    383.52x = 572.56 × 332.56
  4. Step 4: Simplify right side
    383.52x = 190,410.55
  5. Step 5: Solve for x
    x = 190,410.55/383.52
  6. Step 6: Final answer
    x = 496.48

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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.