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Finding the Fourth Proportional to 359.61, 539.57 and 215.25

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Solution

The fourth proportional to 359.61, 539.57 and 215.25 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.61 : 539.57 = 215.25 : x
  2. Step 2: Convert to fraction form
    359.61/539.57 = 215.25/x
  3. Step 3: Cross multiply
    359.61x = 539.57 × 215.25
  4. Step 4: Simplify right side
    359.61x = 116,141.37
  5. Step 5: Solve for x
    x = 116,141.37/359.61
  6. Step 6: Final answer
    x = 322.96

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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.