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Finding the Fourth Proportional to 359.71, 496.40 and 260.28

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Solution

The fourth proportional to 359.71, 496.40 and 260.28 is: 359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 496.40 = 260.28 : x
  2. Step 2: Convert to fraction form
    359.71/496.40 = 260.28/x
  3. Step 3: Cross multiply
    359.71x = 496.40 × 260.28
  4. Step 4: Simplify right side
    359.71x = 129,201.69
  5. Step 5: Solve for x
    x = 129,201.69/359.71
  6. Step 6: Final answer
    x = 359.19

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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.