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Finding the Fourth Proportional to 302.25, 417.42 and 224.49

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Solution

The fourth proportional to 302.25, 417.42 and 224.49 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 417.42 = 224.49 : x
  2. Step 2: Convert to fraction form
    302.25/417.42 = 224.49/x
  3. Step 3: Cross multiply
    302.25x = 417.42 × 224.49
  4. Step 4: Simplify right side
    302.25x = 93,706.62
  5. Step 5: Solve for x
    x = 93,706.62/302.25
  6. Step 6: Final answer
    x = 310.03

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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.