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Finding the Fourth Proportional to 369.60, 512.88 and 346.56

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Solution

The fourth proportional to 369.60, 512.88 and 346.56 is: 480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 512.88 = 346.56 : x
  2. Step 2: Convert to fraction form
    369.60/512.88 = 346.56/x
  3. Step 3: Cross multiply
    369.60x = 512.88 × 346.56
  4. Step 4: Simplify right side
    369.60x = 177,743.69
  5. Step 5: Solve for x
    x = 177,743.69/369.60
  6. Step 6: Final answer
    x = 480.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.