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Finding the Fourth Proportional to 289.26, 431.64 and 258.59

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Solution

The fourth proportional to 289.26, 431.64 and 258.59 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 431.64 = 258.59 : x
  2. Step 2: Convert to fraction form
    289.26/431.64 = 258.59/x
  3. Step 3: Cross multiply
    289.26x = 431.64 × 258.59
  4. Step 4: Simplify right side
    289.26x = 111,618.87
  5. Step 5: Solve for x
    x = 111,618.87/289.26
  6. Step 6: Final answer
    x = 385.88

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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.