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Finding the Fourth Proportional to 359.42, 496.48 and 289.75

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Solution

The fourth proportional to 359.42, 496.48 and 289.75 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 496.48 = 289.75 : x
  2. Step 2: Convert to fraction form
    359.42/496.48 = 289.75/x
  3. Step 3: Cross multiply
    359.42x = 496.48 × 289.75
  4. Step 4: Simplify right side
    359.42x = 143,853.11
  5. Step 5: Solve for x
    x = 143,853.11/359.42
  6. Step 6: Final answer
    x = 400.23

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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.