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Finding the Fourth Proportional to 359.03, 494.88 and 293.42

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Solution

The fourth proportional to 359.03, 494.88 and 293.42 is: 404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 494.88 = 293.42 : x
  2. Step 2: Convert to fraction form
    359.03/494.88 = 293.42/x
  3. Step 3: Cross multiply
    359.03x = 494.88 × 293.42
  4. Step 4: Simplify right side
    359.03x = 145,205.22
  5. Step 5: Solve for x
    x = 145,205.22/359.03
  6. Step 6: Final answer
    x = 404.44

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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.