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Finding the Fourth Proportional to 405.25, 559.18 and 274.13

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Solution

The fourth proportional to 405.25, 559.18 and 274.13 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 559.18 = 274.13 : x
  2. Step 2: Convert to fraction form
    405.25/559.18 = 274.13/x
  3. Step 3: Cross multiply
    405.25x = 559.18 × 274.13
  4. Step 4: Simplify right side
    405.25x = 153,283.85
  5. Step 5: Solve for x
    x = 153,283.85/405.25
  6. Step 6: Final answer
    x = 378.25

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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.