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Finding the Fourth Proportional to 284.81, 425.21 and 267.42

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Solution

The fourth proportional to 284.81, 425.21 and 267.42 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.81 : 425.21 = 267.42 : x
  2. Step 2: Convert to fraction form
    284.81/425.21 = 267.42/x
  3. Step 3: Cross multiply
    284.81x = 425.21 × 267.42
  4. Step 4: Simplify right side
    284.81x = 113,708.32
  5. Step 5: Solve for x
    x = 113,708.32/284.81
  6. Step 6: Final answer
    x = 399.25

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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.