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Finding the Fourth Proportional to 359.64, 496.40 and 212.38

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Solution

The fourth proportional to 359.64, 496.40 and 212.38 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 496.40 = 212.38 : x
  2. Step 2: Convert to fraction form
    359.64/496.40 = 212.38/x
  3. Step 3: Cross multiply
    359.64x = 496.40 × 212.38
  4. Step 4: Simplify right side
    359.64x = 105,423.13
  5. Step 5: Solve for x
    x = 105,423.13/359.64
  6. Step 6: Final answer
    x = 293.14

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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.