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Finding the Fourth Proportional to 359.61, 495.27 and 310.47

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Solution

The fourth proportional to 359.61, 495.27 and 310.47 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.61 : 495.27 = 310.47 : x
  2. Step 2: Convert to fraction form
    359.61/495.27 = 310.47/x
  3. Step 3: Cross multiply
    359.61x = 495.27 × 310.47
  4. Step 4: Simplify right side
    359.61x = 153,766.48
  5. Step 5: Solve for x
    x = 153,766.48/359.61
  6. Step 6: Final answer
    x = 427.59

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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.