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Finding the Fourth Proportional to 320.40, 441.18 and 288

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Solution

The fourth proportional to 320.40, 441.18 and 288 is: 396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 441.18 = 288 : x
  2. Step 2: Convert to fraction form
    320.40/441.18 = 288/x
  3. Step 3: Cross multiply
    320.40x = 441.18 × 288
  4. Step 4: Simplify right side
    320.40x = 127,059.84
  5. Step 5: Solve for x
    x = 127,059.84/320.40
  6. Step 6: Final answer
    x = 396.57

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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.