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Finding the Fourth Proportional to 360.45, 495.84 and 315.99

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Solution

The fourth proportional to 360.45, 495.84 and 315.99 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.45 : 495.84 = 315.99 : x
  2. Step 2: Convert to fraction form
    360.45/495.84 = 315.99/x
  3. Step 3: Cross multiply
    360.45x = 495.84 × 315.99
  4. Step 4: Simplify right side
    360.45x = 156,678.00
  5. Step 5: Solve for x
    x = 156,678.00/360.45
  6. Step 6: Final answer
    x = 434.68

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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.