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Finding the Fourth Proportional to 354.82, 488.11 and 289.18

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Solution

The fourth proportional to 354.82, 488.11 and 289.18 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 488.11 = 289.18 : x
  2. Step 2: Convert to fraction form
    354.82/488.11 = 289.18/x
  3. Step 3: Cross multiply
    354.82x = 488.11 × 289.18
  4. Step 4: Simplify right side
    354.82x = 141,151.65
  5. Step 5: Solve for x
    x = 141,151.65/354.82
  6. Step 6: Final answer
    x = 397.81

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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.