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Finding the Fourth Proportional to 577.03, 864.96 and 230.27

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Solution

The fourth proportional to 577.03, 864.96 and 230.27 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.03 : 864.96 = 230.27 : x
  2. Step 2: Convert to fraction form
    577.03/864.96 = 230.27/x
  3. Step 3: Cross multiply
    577.03x = 864.96 × 230.27
  4. Step 4: Simplify right side
    577.03x = 199,174.34
  5. Step 5: Solve for x
    x = 199,174.34/577.03
  6. Step 6: Final answer
    x = 345.17

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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.