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Finding the Fourth Proportional to 405.42, 559.77 and 289.14

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Solution

The fourth proportional to 405.42, 559.77 and 289.14 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 559.77 = 289.14 : x
  2. Step 2: Convert to fraction form
    405.42/559.77 = 289.14/x
  3. Step 3: Cross multiply
    405.42x = 559.77 × 289.14
  4. Step 4: Simplify right side
    405.42x = 161,851.90
  5. Step 5: Solve for x
    x = 161,851.90/405.42
  6. Step 6: Final answer
    x = 399.22

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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.