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Finding the Fourth Proportional to 581.02, 871.60 and 190.93

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Solution

The fourth proportional to 581.02, 871.60 and 190.93 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.02 : 871.60 = 190.93 : x
  2. Step 2: Convert to fraction form
    581.02/871.60 = 190.93/x
  3. Step 3: Cross multiply
    581.02x = 871.60 × 190.93
  4. Step 4: Simplify right side
    581.02x = 166,414.59
  5. Step 5: Solve for x
    x = 166,414.59/581.02
  6. Step 6: Final answer
    x = 286.42

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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.