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Finding the Fourth Proportional to 287.86, 432.34 and 251.42

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Solution

The fourth proportional to 287.86, 432.34 and 251.42 is: 377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.86 : 432.34 = 251.42 : x
  2. Step 2: Convert to fraction form
    287.86/432.34 = 251.42/x
  3. Step 3: Cross multiply
    287.86x = 432.34 × 251.42
  4. Step 4: Simplify right side
    287.86x = 108,698.92
  5. Step 5: Solve for x
    x = 108,698.92/287.86
  6. Step 6: Final answer
    x = 377.61

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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.