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Finding the Fourth Proportional to 331.84, 456.88 and 288.16

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Solution

The fourth proportional to 331.84, 456.88 and 288.16 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 456.88 = 288.16 : x
  2. Step 2: Convert to fraction form
    331.84/456.88 = 288.16/x
  3. Step 3: Cross multiply
    331.84x = 456.88 × 288.16
  4. Step 4: Simplify right side
    331.84x = 131,654.54
  5. Step 5: Solve for x
    x = 131,654.54/331.84
  6. Step 6: Final answer
    x = 396.74

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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.