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Finding the Fourth Proportional to 284.26, 425.85 and 186.66

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Solution

The fourth proportional to 284.26, 425.85 and 186.66 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 425.85 = 186.66 : x
  2. Step 2: Convert to fraction form
    284.26/425.85 = 186.66/x
  3. Step 3: Cross multiply
    284.26x = 425.85 × 186.66
  4. Step 4: Simplify right side
    284.26x = 79,489.16
  5. Step 5: Solve for x
    x = 79,489.16/284.26
  6. Step 6: Final answer
    x = 279.64

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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.