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Finding the Fourth Proportional to 359.32, 537.96 and 325.15

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Solution

The fourth proportional to 359.32, 537.96 and 325.15 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 537.96 = 325.15 : x
  2. Step 2: Convert to fraction form
    359.32/537.96 = 325.15/x
  3. Step 3: Cross multiply
    359.32x = 537.96 × 325.15
  4. Step 4: Simplify right side
    359.32x = 174,917.69
  5. Step 5: Solve for x
    x = 174,917.69/359.32
  6. Step 6: Final answer
    x = 486.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.