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Finding the Fourth Proportional to 359.72, 496.30 and 210.31

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Solution

The fourth proportional to 359.72, 496.30 and 210.31 is: 290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 496.30 = 210.31 : x
  2. Step 2: Convert to fraction form
    359.72/496.30 = 210.31/x
  3. Step 3: Cross multiply
    359.72x = 496.30 × 210.31
  4. Step 4: Simplify right side
    359.72x = 104,376.85
  5. Step 5: Solve for x
    x = 104,376.85/359.72
  6. Step 6: Final answer
    x = 290.16

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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.