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Finding the Fourth Proportional to 359.63, 495.10 and 315.95

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Solution

The fourth proportional to 359.63, 495.10 and 315.95 is: 434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.63 : 495.10 = 315.95 : x
  2. Step 2: Convert to fraction form
    359.63/495.10 = 315.95/x
  3. Step 3: Cross multiply
    359.63x = 495.10 × 315.95
  4. Step 4: Simplify right side
    359.63x = 156,426.85
  5. Step 5: Solve for x
    x = 156,426.85/359.63
  6. Step 6: Final answer
    x = 434.97

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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.