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Finding the Fourth Proportional to 359.82, 538.89 and 278.40

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Solution

The fourth proportional to 359.82, 538.89 and 278.40 is: 416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 538.89 = 278.40 : x
  2. Step 2: Convert to fraction form
    359.82/538.89 = 278.40/x
  3. Step 3: Cross multiply
    359.82x = 538.89 × 278.40
  4. Step 4: Simplify right side
    359.82x = 150,026.98
  5. Step 5: Solve for x
    x = 150,026.98/359.82
  6. Step 6: Final answer
    x = 416.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.