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Finding the Fourth Proportional to 553.35, 829.93 and 206.85

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Solution

The fourth proportional to 553.35, 829.93 and 206.85 is: 310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.35 : 829.93 = 206.85 : x
  2. Step 2: Convert to fraction form
    553.35/829.93 = 206.85/x
  3. Step 3: Cross multiply
    553.35x = 829.93 × 206.85
  4. Step 4: Simplify right side
    553.35x = 171,671.02
  5. Step 5: Solve for x
    x = 171,671.02/553.35
  6. Step 6: Final answer
    x = 310.24

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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.