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Finding the Fourth Proportional to 359.52, 495.92 and 228.48

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Solution

The fourth proportional to 359.52, 495.92 and 228.48 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 495.92 = 228.48 : x
  2. Step 2: Convert to fraction form
    359.52/495.92 = 228.48/x
  3. Step 3: Cross multiply
    359.52x = 495.92 × 228.48
  4. Step 4: Simplify right side
    359.52x = 113,307.80
  5. Step 5: Solve for x
    x = 113,307.80/359.52
  6. Step 6: Final answer
    x = 315.16

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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.