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Finding the Fourth Proportional to 539.36, 808.96 and 154.56

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Solution

The fourth proportional to 539.36, 808.96 and 154.56 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.36 : 808.96 = 154.56 : x
  2. Step 2: Convert to fraction form
    539.36/808.96 = 154.56/x
  3. Step 3: Cross multiply
    539.36x = 808.96 × 154.56
  4. Step 4: Simplify right side
    539.36x = 125,032.86
  5. Step 5: Solve for x
    x = 125,032.86/539.36
  6. Step 6: Final answer
    x = 231.82

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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.