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Finding the Fourth Proportional to 284.89, 425.75 and 211.93

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Solution

The fourth proportional to 284.89, 425.75 and 211.93 is: 316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.89 : 425.75 = 211.93 : x
  2. Step 2: Convert to fraction form
    284.89/425.75 = 211.93/x
  3. Step 3: Cross multiply
    284.89x = 425.75 × 211.93
  4. Step 4: Simplify right side
    284.89x = 90,229.20
  5. Step 5: Solve for x
    x = 90,229.20/284.89
  6. Step 6: Final answer
    x = 316.72

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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.