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Finding the Fourth Proportional to 360.25, 495.75 and 348.37

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Solution

The fourth proportional to 360.25, 495.75 and 348.37 is: 479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 495.75 = 348.37 : x
  2. Step 2: Convert to fraction form
    360.25/495.75 = 348.37/x
  3. Step 3: Cross multiply
    360.25x = 495.75 × 348.37
  4. Step 4: Simplify right side
    360.25x = 172,704.43
  5. Step 5: Solve for x
    x = 172,704.43/360.25
  6. Step 6: Final answer
    x = 479.40

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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.