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Finding the Fourth Proportional to 284.61, 427 and 140.23

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Solution

The fourth proportional to 284.61, 427 and 140.23 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 427 = 140.23 : x
  2. Step 2: Convert to fraction form
    284.61/427 = 140.23/x
  3. Step 3: Cross multiply
    284.61x = 427 × 140.23
  4. Step 4: Simplify right side
    284.61x = 59,876.08
  5. Step 5: Solve for x
    x = 59,876.08/284.61
  6. Step 6: Final answer
    x = 210.38

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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.