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Finding the Fourth Proportional to 405.86, 560.21 and 281.79

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Solution

The fourth proportional to 405.86, 560.21 and 281.79 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 560.21 = 281.79 : x
  2. Step 2: Convert to fraction form
    405.86/560.21 = 281.79/x
  3. Step 3: Cross multiply
    405.86x = 560.21 × 281.79
  4. Step 4: Simplify right side
    405.86x = 157,860.17
  5. Step 5: Solve for x
    x = 157,860.17/405.86
  6. Step 6: Final answer
    x = 388.96

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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.