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Finding the Fourth Proportional to 360.59, 496.62 and 342.95

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Solution

The fourth proportional to 360.59, 496.62 and 342.95 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.59 : 496.62 = 342.95 : x
  2. Step 2: Convert to fraction form
    360.59/496.62 = 342.95/x
  3. Step 3: Cross multiply
    360.59x = 496.62 × 342.95
  4. Step 4: Simplify right side
    360.59x = 170,313.35
  5. Step 5: Solve for x
    x = 170,313.35/360.59
  6. Step 6: Final answer
    x = 472.33

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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.