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Finding the Fourth Proportional to 458.58, 686.81 and 226.76

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Solution

The fourth proportional to 458.58, 686.81 and 226.76 is: 339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 686.81 = 226.76 : x
  2. Step 2: Convert to fraction form
    458.58/686.81 = 226.76/x
  3. Step 3: Cross multiply
    458.58x = 686.81 × 226.76
  4. Step 4: Simplify right side
    458.58x = 155,736.47
  5. Step 5: Solve for x
    x = 155,736.47/458.58
  6. Step 6: Final answer
    x = 339.61

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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.