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Finding the Fourth Proportional to 355.85, 534.09 and 182.64

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Solution

The fourth proportional to 355.85, 534.09 and 182.64 is: 274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.85 : 534.09 = 182.64 : x
  2. Step 2: Convert to fraction form
    355.85/534.09 = 182.64/x
  3. Step 3: Cross multiply
    355.85x = 534.09 × 182.64
  4. Step 4: Simplify right side
    355.85x = 97,546.20
  5. Step 5: Solve for x
    x = 97,546.20/355.85
  6. Step 6: Final answer
    x = 274.12

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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.