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Finding the Fourth Proportional to 359.85, 495.89 and 261.45

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Solution

The fourth proportional to 359.85, 495.89 and 261.45 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 495.89 = 261.45 : x
  2. Step 2: Convert to fraction form
    359.85/495.89 = 261.45/x
  3. Step 3: Cross multiply
    359.85x = 495.89 × 261.45
  4. Step 4: Simplify right side
    359.85x = 129,648.61
  5. Step 5: Solve for x
    x = 129,648.61/359.85
  6. Step 6: Final answer
    x = 360.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.