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Finding the Fourth Proportional to 359.61, 539.10 and 305.12

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Solution

The fourth proportional to 359.61, 539.10 and 305.12 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.61 : 539.10 = 305.12 : x
  2. Step 2: Convert to fraction form
    359.61/539.10 = 305.12/x
  3. Step 3: Cross multiply
    359.61x = 539.10 × 305.12
  4. Step 4: Simplify right side
    359.61x = 164,485.97
  5. Step 5: Solve for x
    x = 164,485.97/359.61
  6. Step 6: Final answer
    x = 457.41

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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.