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Finding the Fourth Proportional to 381.52, 524.70 and 332.44

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Solution

The fourth proportional to 381.52, 524.70 and 332.44 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 524.70 = 332.44 : x
  2. Step 2: Convert to fraction form
    381.52/524.70 = 332.44/x
  3. Step 3: Cross multiply
    381.52x = 524.70 × 332.44
  4. Step 4: Simplify right side
    381.52x = 174,431.27
  5. Step 5: Solve for x
    x = 174,431.27/381.52
  6. Step 6: Final answer
    x = 457.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.