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Finding the Fourth Proportional to 359.52, 540.36 and 316.32

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Solution

The fourth proportional to 359.52, 540.36 and 316.32 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 540.36 = 316.32 : x
  2. Step 2: Convert to fraction form
    359.52/540.36 = 316.32/x
  3. Step 3: Cross multiply
    359.52x = 540.36 × 316.32
  4. Step 4: Simplify right side
    359.52x = 170,926.68
  5. Step 5: Solve for x
    x = 170,926.68/359.52
  6. Step 6: Final answer
    x = 475.43

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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.