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Finding the Fourth Proportional to 289.40, 431.84 and 258.62

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Solution

The fourth proportional to 289.40, 431.84 and 258.62 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 431.84 = 258.62 : x
  2. Step 2: Convert to fraction form
    289.40/431.84 = 258.62/x
  3. Step 3: Cross multiply
    289.40x = 431.84 × 258.62
  4. Step 4: Simplify right side
    289.40x = 111,682.46
  5. Step 5: Solve for x
    x = 111,682.46/289.40
  6. Step 6: Final answer
    x = 385.91

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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.