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Finding the Fourth Proportional to 302.47, 417.49 and 274.79

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Solution

The fourth proportional to 302.47, 417.49 and 274.79 is: 379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 417.49 = 274.79 : x
  2. Step 2: Convert to fraction form
    302.47/417.49 = 274.79/x
  3. Step 3: Cross multiply
    302.47x = 417.49 × 274.79
  4. Step 4: Simplify right side
    302.47x = 114,722.43
  5. Step 5: Solve for x
    x = 114,722.43/302.47
  6. Step 6: Final answer
    x = 379.29

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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.