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Finding the Fourth Proportional to 359.40, 495.86 and 235.02

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Solution

The fourth proportional to 359.40, 495.86 and 235.02 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 495.86 = 235.02 : x
  2. Step 2: Convert to fraction form
    359.40/495.86 = 235.02/x
  3. Step 3: Cross multiply
    359.40x = 495.86 × 235.02
  4. Step 4: Simplify right side
    359.40x = 116,537.02
  5. Step 5: Solve for x
    x = 116,537.02/359.40
  6. Step 6: Final answer
    x = 324.25

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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.