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Finding the Fourth Proportional to 359.02, 494.25 and 306.46

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Solution

The fourth proportional to 359.02, 494.25 and 306.46 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.02 : 494.25 = 306.46 : x
  2. Step 2: Convert to fraction form
    359.02/494.25 = 306.46/x
  3. Step 3: Cross multiply
    359.02x = 494.25 × 306.46
  4. Step 4: Simplify right side
    359.02x = 151,467.86
  5. Step 5: Solve for x
    x = 151,467.86/359.02
  6. Step 6: Final answer
    x = 421.89

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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.