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Finding the Fourth Proportional to 405.86, 558.93 and 289.22

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Solution

The fourth proportional to 405.86, 558.93 and 289.22 is: 398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 558.93 = 289.22 : x
  2. Step 2: Convert to fraction form
    405.86/558.93 = 289.22/x
  3. Step 3: Cross multiply
    405.86x = 558.93 × 289.22
  4. Step 4: Simplify right side
    405.86x = 161,653.73
  5. Step 5: Solve for x
    x = 161,653.73/405.86
  6. Step 6: Final answer
    x = 398.30

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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.