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Finding the Fourth Proportional to 577.85, 866.23 and 231.00

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Solution

The fourth proportional to 577.85, 866.23 and 231.00 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.85 : 866.23 = 231.00 : x
  2. Step 2: Convert to fraction form
    577.85/866.23 = 231.00/x
  3. Step 3: Cross multiply
    577.85x = 866.23 × 231.00
  4. Step 4: Simplify right side
    577.85x = 200,100.18
  5. Step 5: Solve for x
    x = 200,100.18/577.85
  6. Step 6: Final answer
    x = 346.28

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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.