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Finding the Fourth Proportional to 354.18, 530.91 and 161.94

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Solution

The fourth proportional to 354.18, 530.91 and 161.94 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.18 : 530.91 = 161.94 : x
  2. Step 2: Convert to fraction form
    354.18/530.91 = 161.94/x
  3. Step 3: Cross multiply
    354.18x = 530.91 × 161.94
  4. Step 4: Simplify right side
    354.18x = 85,975.57
  5. Step 5: Solve for x
    x = 85,975.57/354.18
  6. Step 6: Final answer
    x = 242.75

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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.