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Finding the Fourth Proportional to 331.20, 494.64 and 288

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Solution

The fourth proportional to 331.20, 494.64 and 288 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 494.64 = 288 : x
  2. Step 2: Convert to fraction form
    331.20/494.64 = 288/x
  3. Step 3: Cross multiply
    331.20x = 494.64 × 288
  4. Step 4: Simplify right side
    331.20x = 142,456.32
  5. Step 5: Solve for x
    x = 142,456.32/331.20
  6. Step 6: Final answer
    x = 430.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.