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Finding the Fourth Proportional to 343.20, 513.52 and 288.48

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Solution

The fourth proportional to 343.20, 513.52 and 288.48 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 513.52 = 288.48 : x
  2. Step 2: Convert to fraction form
    343.20/513.52 = 288.48/x
  3. Step 3: Cross multiply
    343.20x = 513.52 × 288.48
  4. Step 4: Simplify right side
    343.20x = 148,140.25
  5. Step 5: Solve for x
    x = 148,140.25/343.20
  6. Step 6: Final answer
    x = 431.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.