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Finding the Fourth Proportional to 354.11, 530.94 and 122.90

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Solution

The fourth proportional to 354.11, 530.94 and 122.90 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 530.94 = 122.90 : x
  2. Step 2: Convert to fraction form
    354.11/530.94 = 122.90/x
  3. Step 3: Cross multiply
    354.11x = 530.94 × 122.90
  4. Step 4: Simplify right side
    354.11x = 65,249.87
  5. Step 5: Solve for x
    x = 65,249.87/354.11
  6. Step 6: Final answer
    x = 184.27

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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.