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Finding the Fourth Proportional to 406, 560.74 and 274.78

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Solution

The fourth proportional to 406, 560.74 and 274.78 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 560.74 = 274.78 : x
  2. Step 2: Convert to fraction form
    406/560.74 = 274.78/x
  3. Step 3: Cross multiply
    406x = 560.74 × 274.78
  4. Step 4: Simplify right side
    406x = 154,080.14
  5. Step 5: Solve for x
    x = 154,080.14/406
  6. Step 6: Final answer
    x = 379.51

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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.