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Finding the Fourth Proportional to 289.30, 431.94 and 259.82

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Solution

The fourth proportional to 289.30, 431.94 and 259.82 is: 387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.30 : 431.94 = 259.82 : x
  2. Step 2: Convert to fraction form
    289.30/431.94 = 259.82/x
  3. Step 3: Cross multiply
    289.30x = 431.94 × 259.82
  4. Step 4: Simplify right side
    289.30x = 112,226.65
  5. Step 5: Solve for x
    x = 112,226.65/289.30
  6. Step 6: Final answer
    x = 387.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.