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Finding the Fourth Proportional to 406.78, 561.05 and 274.14

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Solution

The fourth proportional to 406.78, 561.05 and 274.14 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 561.05 = 274.14 : x
  2. Step 2: Convert to fraction form
    406.78/561.05 = 274.14/x
  3. Step 3: Cross multiply
    406.78x = 561.05 × 274.14
  4. Step 4: Simplify right side
    406.78x = 153,804.88
  5. Step 5: Solve for x
    x = 153,804.88/406.78
  6. Step 6: Final answer
    x = 378.11

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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.