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Finding the Fourth Proportional to 359.33, 495.69 and 228.20

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Solution

The fourth proportional to 359.33, 495.69 and 228.20 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.33 : 495.69 = 228.20 : x
  2. Step 2: Convert to fraction form
    359.33/495.69 = 228.20/x
  3. Step 3: Cross multiply
    359.33x = 495.69 × 228.20
  4. Step 4: Simplify right side
    359.33x = 113,116.46
  5. Step 5: Solve for x
    x = 113,116.46/359.33
  6. Step 6: Final answer
    x = 314.80

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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.