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Finding the Fourth Proportional to 359.51, 495.87 and 235.27

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Solution

The fourth proportional to 359.51, 495.87 and 235.27 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 495.87 = 235.27 : x
  2. Step 2: Convert to fraction form
    359.51/495.87 = 235.27/x
  3. Step 3: Cross multiply
    359.51x = 495.87 × 235.27
  4. Step 4: Simplify right side
    359.51x = 116,660.86
  5. Step 5: Solve for x
    x = 116,660.86/359.51
  6. Step 6: Final answer
    x = 324.50

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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.