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Finding the Fourth Proportional to 302.13, 452.74 and 180.33

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Solution

The fourth proportional to 302.13, 452.74 and 180.33 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 452.74 = 180.33 : x
  2. Step 2: Convert to fraction form
    302.13/452.74 = 180.33/x
  3. Step 3: Cross multiply
    302.13x = 452.74 × 180.33
  4. Step 4: Simplify right side
    302.13x = 81,640.79
  5. Step 5: Solve for x
    x = 81,640.79/302.13
  6. Step 6: Final answer
    x = 270.22

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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.