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Finding the Fourth Proportional to 455.42, 683.10 and 224.13

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Solution

The fourth proportional to 455.42, 683.10 and 224.13 is: 336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 683.10 = 224.13 : x
  2. Step 2: Convert to fraction form
    455.42/683.10 = 224.13/x
  3. Step 3: Cross multiply
    455.42x = 683.10 × 224.13
  4. Step 4: Simplify right side
    455.42x = 153,105.76
  5. Step 5: Solve for x
    x = 153,105.76/455.42
  6. Step 6: Final answer
    x = 336.18

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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.