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Finding the Fourth Proportional to 302.99, 454.33 and 120.29

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Solution

The fourth proportional to 302.99, 454.33 and 120.29 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 454.33 = 120.29 : x
  2. Step 2: Convert to fraction form
    302.99/454.33 = 120.29/x
  3. Step 3: Cross multiply
    302.99x = 454.33 × 120.29
  4. Step 4: Simplify right side
    302.99x = 54,650.75
  5. Step 5: Solve for x
    x = 54,650.75/302.99
  6. Step 6: Final answer
    x = 180.37

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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.