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Finding the Fourth Proportional to 359.80, 537.05 and 318.76

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Solution

The fourth proportional to 359.80, 537.05 and 318.76 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 537.05 = 318.76 : x
  2. Step 2: Convert to fraction form
    359.80/537.05 = 318.76/x
  3. Step 3: Cross multiply
    359.80x = 537.05 × 318.76
  4. Step 4: Simplify right side
    359.80x = 171,190.06
  5. Step 5: Solve for x
    x = 171,190.06/359.80
  6. Step 6: Final answer
    x = 475.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.