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Finding the Fourth Proportional to 406.03, 559.47 and 274.81

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Solution

The fourth proportional to 406.03, 559.47 and 274.81 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.03 : 559.47 = 274.81 : x
  2. Step 2: Convert to fraction form
    406.03/559.47 = 274.81/x
  3. Step 3: Cross multiply
    406.03x = 559.47 × 274.81
  4. Step 4: Simplify right side
    406.03x = 153,747.95
  5. Step 5: Solve for x
    x = 153,747.95/406.03
  6. Step 6: Final answer
    x = 378.66

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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.