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Finding the Fourth Proportional to 405.25, 560 and 331.54

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Solution

The fourth proportional to 405.25, 560 and 331.54 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 560 = 331.54 : x
  2. Step 2: Convert to fraction form
    405.25/560 = 331.54/x
  3. Step 3: Cross multiply
    405.25x = 560 × 331.54
  4. Step 4: Simplify right side
    405.25x = 185,662.40
  5. Step 5: Solve for x
    x = 185,662.40/405.25
  6. Step 6: Final answer
    x = 458.14

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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.