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Finding the Fourth Proportional to 594.12, 891.18 and 161.28

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Solution

The fourth proportional to 594.12, 891.18 and 161.28 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 891.18 = 161.28 : x
  2. Step 2: Convert to fraction form
    594.12/891.18 = 161.28/x
  3. Step 3: Cross multiply
    594.12x = 891.18 × 161.28
  4. Step 4: Simplify right side
    594.12x = 143,724.65
  5. Step 5: Solve for x
    x = 143,724.65/594.12
  6. Step 6: Final answer
    x = 241.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.