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Finding the Fourth Proportional to 284.69, 427.03 and 140.30

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Solution

The fourth proportional to 284.69, 427.03 and 140.30 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 427.03 = 140.30 : x
  2. Step 2: Convert to fraction form
    284.69/427.03 = 140.30/x
  3. Step 3: Cross multiply
    284.69x = 427.03 × 140.30
  4. Step 4: Simplify right side
    284.69x = 59,912.31
  5. Step 5: Solve for x
    x = 59,912.31/284.69
  6. Step 6: Final answer
    x = 210.45

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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.