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Finding the Fourth Proportional to 330.84, 456.32 and 231.24

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Solution

The fourth proportional to 330.84, 456.32 and 231.24 is: 318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 456.32 = 231.24 : x
  2. Step 2: Convert to fraction form
    330.84/456.32 = 231.24/x
  3. Step 3: Cross multiply
    330.84x = 456.32 × 231.24
  4. Step 4: Simplify right side
    330.84x = 105,518.28
  5. Step 5: Solve for x
    x = 105,518.28/330.84
  6. Step 6: Final answer
    x = 318.94

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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.