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Finding the Fourth Proportional to 455.84, 684 and 212.24

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Solution

The fourth proportional to 455.84, 684 and 212.24 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 684 = 212.24 : x
  2. Step 2: Convert to fraction form
    455.84/684 = 212.24/x
  3. Step 3: Cross multiply
    455.84x = 684 × 212.24
  4. Step 4: Simplify right side
    455.84x = 145,172.16
  5. Step 5: Solve for x
    x = 145,172.16/455.84
  6. Step 6: Final answer
    x = 318.47

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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.