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Finding the Fourth Proportional to 359.72, 496.47 and 228.77

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Solution

The fourth proportional to 359.72, 496.47 and 228.77 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 496.47 = 228.77 : x
  2. Step 2: Convert to fraction form
    359.72/496.47 = 228.77/x
  3. Step 3: Cross multiply
    359.72x = 496.47 × 228.77
  4. Step 4: Simplify right side
    359.72x = 113,577.44
  5. Step 5: Solve for x
    x = 113,577.44/359.72
  6. Step 6: Final answer
    x = 315.74

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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.