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Finding the Fourth Proportional to 359.86, 540.60 and 312.88

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Solution

The fourth proportional to 359.86, 540.60 and 312.88 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 540.60 = 312.88 : x
  2. Step 2: Convert to fraction form
    359.86/540.60 = 312.88/x
  3. Step 3: Cross multiply
    359.86x = 540.60 × 312.88
  4. Step 4: Simplify right side
    359.86x = 169,142.93
  5. Step 5: Solve for x
    x = 169,142.93/359.86
  6. Step 6: Final answer
    x = 470.02

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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.