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Finding the Fourth Proportional to 359.13, 541.46 and 287.85

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Solution

The fourth proportional to 359.13, 541.46 and 287.85 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.13 : 541.46 = 287.85 : x
  2. Step 2: Convert to fraction form
    359.13/541.46 = 287.85/x
  3. Step 3: Cross multiply
    359.13x = 541.46 × 287.85
  4. Step 4: Simplify right side
    359.13x = 155,859.26
  5. Step 5: Solve for x
    x = 155,859.26/359.13
  6. Step 6: Final answer
    x = 433.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.