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Finding the Fourth Proportional to 359.20, 495.15 and 296.92

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Solution

The fourth proportional to 359.20, 495.15 and 296.92 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 495.15 = 296.92 : x
  2. Step 2: Convert to fraction form
    359.20/495.15 = 296.92/x
  3. Step 3: Cross multiply
    359.20x = 495.15 × 296.92
  4. Step 4: Simplify right side
    359.20x = 147,019.94
  5. Step 5: Solve for x
    x = 147,019.94/359.20
  6. Step 6: Final answer
    x = 409.30

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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.