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Finding the Fourth Proportional to 359.73, 495.45 and 310.59

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Solution

The fourth proportional to 359.73, 495.45 and 310.59 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.73 : 495.45 = 310.59 : x
  2. Step 2: Convert to fraction form
    359.73/495.45 = 310.59/x
  3. Step 3: Cross multiply
    359.73x = 495.45 × 310.59
  4. Step 4: Simplify right side
    359.73x = 153,881.82
  5. Step 5: Solve for x
    x = 153,881.82/359.73
  6. Step 6: Final answer
    x = 427.77

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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.