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Finding the Fourth Proportional to 331.32, 456.78 and 284.64

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Solution

The fourth proportional to 331.32, 456.78 and 284.64 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.32 : 456.78 = 284.64 : x
  2. Step 2: Convert to fraction form
    331.32/456.78 = 284.64/x
  3. Step 3: Cross multiply
    331.32x = 456.78 × 284.64
  4. Step 4: Simplify right side
    331.32x = 130,017.86
  5. Step 5: Solve for x
    x = 130,017.86/331.32
  6. Step 6: Final answer
    x = 392.42

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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.