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Finding the Fourth Proportional to 359.64, 540.21 and 345.36

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Solution

The fourth proportional to 359.64, 540.21 and 345.36 is: 518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 540.21 = 345.36 : x
  2. Step 2: Convert to fraction form
    359.64/540.21 = 345.36/x
  3. Step 3: Cross multiply
    359.64x = 540.21 × 345.36
  4. Step 4: Simplify right side
    359.64x = 186,566.93
  5. Step 5: Solve for x
    x = 186,566.93/359.64
  6. Step 6: Final answer
    x = 518.76

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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.