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Finding the Fourth Proportional to 359.52, 496.02 and 228.57

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Solution

The fourth proportional to 359.52, 496.02 and 228.57 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 496.02 = 228.57 : x
  2. Step 2: Convert to fraction form
    359.52/496.02 = 228.57/x
  3. Step 3: Cross multiply
    359.52x = 496.02 × 228.57
  4. Step 4: Simplify right side
    359.52x = 113,375.29
  5. Step 5: Solve for x
    x = 113,375.29/359.52
  6. Step 6: Final answer
    x = 315.35

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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.