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Finding the Fourth Proportional to 354.11, 531.17 and 123.00

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Solution

The fourth proportional to 354.11, 531.17 and 123.00 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 531.17 = 123.00 : x
  2. Step 2: Convert to fraction form
    354.11/531.17 = 123.00/x
  3. Step 3: Cross multiply
    354.11x = 531.17 × 123.00
  4. Step 4: Simplify right side
    354.11x = 65,334.62
  5. Step 5: Solve for x
    x = 65,334.62/354.11
  6. Step 6: Final answer
    x = 184.51

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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.