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Finding the Fourth Proportional to 458.16, 683.84 and 349.44

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Solution

The fourth proportional to 458.16, 683.84 and 349.44 is: 521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 683.84 = 349.44 : x
  2. Step 2: Convert to fraction form
    458.16/683.84 = 349.44/x
  3. Step 3: Cross multiply
    458.16x = 683.84 × 349.44
  4. Step 4: Simplify right side
    458.16x = 238,961.05
  5. Step 5: Solve for x
    x = 238,961.05/458.16
  6. Step 6: Final answer
    x = 521.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.