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Finding the Fourth Proportional to 359.13, 495.95 and 301.53

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Solution

The fourth proportional to 359.13, 495.95 and 301.53 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.13 : 495.95 = 301.53 : x
  2. Step 2: Convert to fraction form
    359.13/495.95 = 301.53/x
  3. Step 3: Cross multiply
    359.13x = 495.95 × 301.53
  4. Step 4: Simplify right side
    359.13x = 149,542.30
  5. Step 5: Solve for x
    x = 149,542.30/359.13
  6. Step 6: Final answer
    x = 416.40

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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.