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Finding the Fourth Proportional to 284.71, 429.45 and 267.85

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Solution

The fourth proportional to 284.71, 429.45 and 267.85 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 429.45 = 267.85 : x
  2. Step 2: Convert to fraction form
    284.71/429.45 = 267.85/x
  3. Step 3: Cross multiply
    284.71x = 429.45 × 267.85
  4. Step 4: Simplify right side
    284.71x = 115,026.84
  5. Step 5: Solve for x
    x = 115,026.84/284.71
  6. Step 6: Final answer
    x = 404.01

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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.