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Finding the Fourth Proportional to 284.21, 428.69 and 267.35

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Solution

The fourth proportional to 284.21, 428.69 and 267.35 is: 403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.21 : 428.69 = 267.35 : x
  2. Step 2: Convert to fraction form
    284.21/428.69 = 267.35/x
  3. Step 3: Cross multiply
    284.21x = 428.69 × 267.35
  4. Step 4: Simplify right side
    284.21x = 114,611.21
  5. Step 5: Solve for x
    x = 114,611.21/284.21
  6. Step 6: Final answer
    x = 403.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.