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Finding the Fourth Proportional to 359.65, 539.20 and 256.87

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Solution

The fourth proportional to 359.65, 539.20 and 256.87 is: 385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.65 : 539.20 = 256.87 : x
  2. Step 2: Convert to fraction form
    359.65/539.20 = 256.87/x
  3. Step 3: Cross multiply
    359.65x = 539.20 × 256.87
  4. Step 4: Simplify right side
    359.65x = 138,504.30
  5. Step 5: Solve for x
    x = 138,504.30/359.65
  6. Step 6: Final answer
    x = 385.11

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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.