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Finding the Fourth Proportional to 359.18, 540.92 and 316.31

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Solution

The fourth proportional to 359.18, 540.92 and 316.31 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.18 : 540.92 = 316.31 : x
  2. Step 2: Convert to fraction form
    359.18/540.92 = 316.31/x
  3. Step 3: Cross multiply
    359.18x = 540.92 × 316.31
  4. Step 4: Simplify right side
    359.18x = 171,098.41
  5. Step 5: Solve for x
    x = 171,098.41/359.18
  6. Step 6: Final answer
    x = 476.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.