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Finding the Fourth Proportional to 359.56, 496.40 and 272.08

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Solution

The fourth proportional to 359.56, 496.40 and 272.08 is: 375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 496.40 = 272.08 : x
  2. Step 2: Convert to fraction form
    359.56/496.40 = 272.08/x
  3. Step 3: Cross multiply
    359.56x = 496.40 × 272.08
  4. Step 4: Simplify right side
    359.56x = 135,060.51
  5. Step 5: Solve for x
    x = 135,060.51/359.56
  6. Step 6: Final answer
    x = 375.63

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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.