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Finding the Fourth Proportional to 359.81, 495.50 and 343.40

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Solution

The fourth proportional to 359.81, 495.50 and 343.40 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.81 : 495.50 = 343.40 : x
  2. Step 2: Convert to fraction form
    359.81/495.50 = 343.40/x
  3. Step 3: Cross multiply
    359.81x = 495.50 × 343.40
  4. Step 4: Simplify right side
    359.81x = 170,154.22
  5. Step 5: Solve for x
    x = 170,154.22/359.81
  6. Step 6: Final answer
    x = 472.91

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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.