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Finding the Fourth Proportional to 455.87, 684.03 and 212.35

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Solution

The fourth proportional to 455.87, 684.03 and 212.35 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.87 : 684.03 = 212.35 : x
  2. Step 2: Convert to fraction form
    455.87/684.03 = 212.35/x
  3. Step 3: Cross multiply
    455.87x = 684.03 × 212.35
  4. Step 4: Simplify right side
    455.87x = 145,253.77
  5. Step 5: Solve for x
    x = 145,253.77/455.87
  6. Step 6: Final answer
    x = 318.63

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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.