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Finding the Fourth Proportional to 355.72, 532.48 and 328.60

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Solution

The fourth proportional to 355.72, 532.48 and 328.60 is: 491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.72 : 532.48 = 328.60 : x
  2. Step 2: Convert to fraction form
    355.72/532.48 = 328.60/x
  3. Step 3: Cross multiply
    355.72x = 532.48 × 328.60
  4. Step 4: Simplify right side
    355.72x = 174,972.93
  5. Step 5: Solve for x
    x = 174,972.93/355.72
  6. Step 6: Final answer
    x = 491.88

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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.