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Finding the Fourth Proportional to 359.92, 537.35 and 325.90

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Solution

The fourth proportional to 359.92, 537.35 and 325.90 is: 486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.92 : 537.35 = 325.90 : x
  2. Step 2: Convert to fraction form
    359.92/537.35 = 325.90/x
  3. Step 3: Cross multiply
    359.92x = 537.35 × 325.90
  4. Step 4: Simplify right side
    359.92x = 175,122.37
  5. Step 5: Solve for x
    x = 175,122.37/359.92
  6. Step 6: Final answer
    x = 486.56

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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.