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Finding the Fourth Proportional to 405.62, 560.15 and 281.60

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Solution

The fourth proportional to 405.62, 560.15 and 281.60 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.62 : 560.15 = 281.60 : x
  2. Step 2: Convert to fraction form
    405.62/560.15 = 281.60/x
  3. Step 3: Cross multiply
    405.62x = 560.15 × 281.60
  4. Step 4: Simplify right side
    405.62x = 157,736.83
  5. Step 5: Solve for x
    x = 157,736.83/405.62
  6. Step 6: Final answer
    x = 388.88

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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.