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Finding the Fourth Proportional to 455.98, 684.38 and 212.64

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Solution

The fourth proportional to 455.98, 684.38 and 212.64 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.98 : 684.38 = 212.64 : x
  2. Step 2: Convert to fraction form
    455.98/684.38 = 212.64/x
  3. Step 3: Cross multiply
    455.98x = 684.38 × 212.64
  4. Step 4: Simplify right side
    455.98x = 145,525.50
  5. Step 5: Solve for x
    x = 145,525.50/455.98
  6. Step 6: Final answer
    x = 319.15

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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.