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Finding the Fourth Proportional to 359.01, 495.19 and 219.03

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Solution

The fourth proportional to 359.01, 495.19 and 219.03 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.01 : 495.19 = 219.03 : x
  2. Step 2: Convert to fraction form
    359.01/495.19 = 219.03/x
  3. Step 3: Cross multiply
    359.01x = 495.19 × 219.03
  4. Step 4: Simplify right side
    359.01x = 108,461.47
  5. Step 5: Solve for x
    x = 108,461.47/359.01
  6. Step 6: Final answer
    x = 302.11

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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.