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Finding the Fourth Proportional to 359.48, 540.66 and 316.28

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Solution

The fourth proportional to 359.48, 540.66 and 316.28 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.48 : 540.66 = 316.28 : x
  2. Step 2: Convert to fraction form
    359.48/540.66 = 316.28/x
  3. Step 3: Cross multiply
    359.48x = 540.66 × 316.28
  4. Step 4: Simplify right side
    359.48x = 170,999.94
  5. Step 5: Solve for x
    x = 170,999.94/359.48
  6. Step 6: Final answer
    x = 475.69

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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.