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Finding the Fourth Proportional to 553.57, 830.46 and 206.89

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Solution

The fourth proportional to 553.57, 830.46 and 206.89 is: 310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.57 : 830.46 = 206.89 : x
  2. Step 2: Convert to fraction form
    553.57/830.46 = 206.89/x
  3. Step 3: Cross multiply
    553.57x = 830.46 × 206.89
  4. Step 4: Simplify right side
    553.57x = 171,817.24
  5. Step 5: Solve for x
    x = 171,817.24/553.57
  6. Step 6: Final answer
    x = 310.38

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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.