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Finding the Fourth Proportional to 352.83, 527.09 and 280.77

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Solution

The fourth proportional to 352.83, 527.09 and 280.77 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 527.09 = 280.77 : x
  2. Step 2: Convert to fraction form
    352.83/527.09 = 280.77/x
  3. Step 3: Cross multiply
    352.83x = 527.09 × 280.77
  4. Step 4: Simplify right side
    352.83x = 147,991.76
  5. Step 5: Solve for x
    x = 147,991.76/352.83
  6. Step 6: Final answer
    x = 419.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.