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Finding the Fourth Proportional to 285.18, 393.24 and 232.94

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Solution

The fourth proportional to 285.18, 393.24 and 232.94 is: 321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.18 : 393.24 = 232.94 : x
  2. Step 2: Convert to fraction form
    285.18/393.24 = 232.94/x
  3. Step 3: Cross multiply
    285.18x = 393.24 × 232.94
  4. Step 4: Simplify right side
    285.18x = 91,599.36
  5. Step 5: Solve for x
    x = 91,599.36/285.18
  6. Step 6: Final answer
    x = 321.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.