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Finding the Fourth Proportional to 359.74, 495.98 and 310.52

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Solution

The fourth proportional to 359.74, 495.98 and 310.52 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.74 : 495.98 = 310.52 : x
  2. Step 2: Convert to fraction form
    359.74/495.98 = 310.52/x
  3. Step 3: Cross multiply
    359.74x = 495.98 × 310.52
  4. Step 4: Simplify right side
    359.74x = 154,011.71
  5. Step 5: Solve for x
    x = 154,011.71/359.74
  6. Step 6: Final answer
    x = 428.12

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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.