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Finding the Fourth Proportional to 359.28, 535.64 and 332.19

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Solution

The fourth proportional to 359.28, 535.64 and 332.19 is: 495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 535.64 = 332.19 : x
  2. Step 2: Convert to fraction form
    359.28/535.64 = 332.19/x
  3. Step 3: Cross multiply
    359.28x = 535.64 × 332.19
  4. Step 4: Simplify right side
    359.28x = 177,932.59
  5. Step 5: Solve for x
    x = 177,932.59/359.28
  6. Step 6: Final answer
    x = 495.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.